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Journal articles on the topic 'Anti-de Sitter solutions'

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Published: 9 March 2023

Last updated: 10 March 2023

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1

Mas, Javier, and Alexandre Serantes. "Oscillating shells in Anti-de Sitter space." International Journal of Modern Physics D 24, no. 09 (July 31, 2015): 1542003. http://dx.doi.org/10.1142/s0218271815420031.

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We study the dynamics of a spherically symmetric thin shell of perfect fluid embedded in d-dimensional Anti-de Sitter (AdS) spacetime. In global coordinates, besides collapsing solutions, oscillating solutions are found where the shell bounces back and forth between two radii. The parameter space where these oscillating solutions exist is scanned in arbitrary number of dimensions. As expected, AdS3 appears to be singled out.

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2

MIGNEMI, S. "EXACT SOLUTIONS OF DILATON GRAVITY WITH (ANTI)-DE SITTER ASYMPTOTICS." Modern Physics Letters A 29, no. 02 (January 20, 2014): 1450010. http://dx.doi.org/10.1142/s0217732314500102.

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We present a technique for obtaining exact spherically symmetric asymptotically de Sitter (dS) or anti-de Sitter (adS) black hole solutions of dilaton gravity with generic coupling to Maxwell field, starting from asymptotically flat solutions and adding a suitable dilaton potential to the action.

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3

CAI, RONG-GEN, and YUAN-ZHONG ZHANG. "ENTROPY OF SCALAR FIELDS IN REISSNER–NORDSTRÖM–(ANTI-)DE SITTER SPACETIMES." Modern Physics Letters A 11, no. 25 (August 20, 1996): 2027–36. http://dx.doi.org/10.1142/s0217732396002010.

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The entropy of a free scalar field is calculated in the Reissner–Nordström–(anti-)de Sitter spacetimes. Due to the presence of the cosmological horizon in the Reissner–Nordström–de Sitter spacetime, we introduce a cutoff at the cosmological horizon, besides the cutoff at the horizon of black holes in the brick wall model. The entropy is found to be the sum of two terms, which are proportional to the area of the cosmological horizon and of black hole horizon, respectively. In the Reissner–Nordström–anti-de Sitter spacetime the contribution of the anti-de Sitter background to the entropy of scalar fields vanishes when an infinite volume is taken. The entropy of scalar fields is also evaluated in some special backgrounds described by solutions of Einstein–Maxwell equations with a cosmological constant, such as the cold black holes, lukewarm black holes, ultracold solutions, a naked singularity in de Sitter space, and the de Sitter space. The physical meaning of some results is briefly discussed.

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4

Cai, Rong-Gen, Ling-Zhi Qiao, and Yuan-Zhong Zhang. "Null Fluid Collapse in the Plane Symmetric Anti-de Sitter Spacetime." Modern Physics Letters A 12, no. 03 (January 30, 1997): 155–61. http://dx.doi.org/10.1142/s0217732397000157.

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The stability of the plane anti-de Sitter spacetime and the gravitational collapse in the plane symmetric anti-de Sitter spacetime are investigated. A scalar curvature singularity will be formed at the r=0 plane when the anti-de Sitter spacetime is perturbed by null dust. By employing the method suggested recently by Husain we find a family of non-static exact solution of the null fluid collapse with equation of state P=kρ in the plane anti-de Sitter spacetime. The late time limit of the solutions results in a black plane solution possessing multiple horizon structure.

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5

HALPERN, PAUL. "ENERGY DISTRIBUTION OF BLACK PLANE SOLUTIONS." Modern Physics Letters A 21, no. 06 (February 28, 2006): 495–502. http://dx.doi.org/10.1142/s0217732306019748.

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We use the Einstein energy–momentum complex to calculate the energy distribution of static plane-symmetric solutions of the Einstein–Maxwell equations in 3+1 dimensions with asymptotic anti-de Sitter behavior. This solution is expressed in terms of three parameters: the mass, electric charge and cosmological constant. We compare the energy distribution to that of the Reissner–Nordström–anti-de Sitter solution, pointing to qualitative differences between the models. Finally, we examine these results within the context of the Cooperstock hypothesis.

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6

Sharif, M., and Saadia Mumtaz. "Schwarzschild-de Sitter and Anti-de Sitter Thin-Shell Wormholes and Their Stability." Advances in High Energy Physics 2014 (2014): 1–13. http://dx.doi.org/10.1155/2014/639759.

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This paper is devoted to construct Schwarzschild-de Sitter and anti-de Sitter thin-shell wormholes by employing Visser’s cut and paste technique. The Darmois-Israel formalism is adopted to formulate the surface stresses of the shell. We analyze null and weak energy conditions as well as attractive and repulsive characteristics of thin-shell wormholes. We also explore stable and unstable solutions against linear perturbations by taking two different Chaplygin gas models for exotic matter. It is concluded that the stress-energy tensor components violate the null and weak energy conditions indicating the existence of exotic matter at the wormhole throat. Finally, we find unstable and stable configurations for the constructed thin-shell wormholes.

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7

Cribiori, Niccolò, and Daniel Junghans. "No classical (anti-)de Sitter solutions with O8-planes." Physics Letters B 793 (June 2019): 54–58. http://dx.doi.org/10.1016/j.physletb.2019.04.030.

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8

da Rocha, R., and E. Capelas Oliveira. "Analytical Solutions of the Gravitational Field Equations in de Sitter and Anti-de Sitter Spacetimes." International Journal of Theoretical Physics 48, no. 1 (July 10, 2008): 127–38. http://dx.doi.org/10.1007/s10773-008-9788-9.

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9

Li, Xiaoyan. "Spherical Symmetric Solutions for the Motion of Relativistic Membranes in the Schwarzschild-Anti de Sitter Space-Time." Journal of Applied Mathematics 2013 (2013): 1–8. http://dx.doi.org/10.1155/2013/215018.

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This paper concerns motion of relativistic membranes in the Schwarzschild-anti de Sitter space-time. We derive a nonlinear equation for relativistic membranes moving in the Schwarzschild-anti de Sitter space-time, discuss spherical symmetric solutions for the motion equations, and obtain some interesting physical results.

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10

GHOSH, SUSHANT G., and D. W. DESHKAR. "EXACT NONSPHERICAL RELATIVISTIC STAR." International Journal of Modern Physics A 25, no. 12 (May 10, 2010): 2573–83. http://dx.doi.org/10.1142/s0217751x10048457.

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Einstein's equation with a negative cosmological constant admit solutions which are asymptotically anti-de Sitter. We obtain Vaidya-like solutions to include both a null fluid and a string fluid in nonspherical (plane symmetric and cylindrical symmetric) anti-de Sitter space–times. Assuming that string fluid diffuse, we find analytical solutions to Einstein's field equations. Thus we extend the approach proposed by Glass and Krisch to nonspherical space–times with a negative cosmological constant. Some other exacts solutions are also presented and discussed.

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11

Chemissany, Wissam, David Geissbühler, Jelle Hartong, and Blaise Rollier. "Lifshitz holographic renormalization from anti-de Sitter." Canadian Journal of Physics 91, no. 6 (June 2013): 457–59. http://dx.doi.org/10.1139/cjp-2012-0350.

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Lifshitz space–times with critical exponent z = 2 can be obtained by dimensional reduction of Schrödinger space–times with critical exponent z = 0. The latter space–times are asymptotically anti-de Sitter (AdS) solutions of AdS gravity coupled to an axion–dilaton system (or even just a massless scalar field). This basic observation is used to perform holographic renormalization for four-dimensional asymptotically locally Lifshitz space–times by dimensional reduction of the corresponding problem of holographic renormalization for five-dimensional asymptotically AdS space–times coupled to an axion–dilaton system. In this setup the four-dimensional structure of the Lifshitz – Fefferman-Graham expansion and the structure of the counterterm action, including the scale anomaly, will be summarized.

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12

GOGBERASHVILI, MERAB, and DOUGLAS SINGLETON. "ANTI-DE SITTER ISLAND-UNIVERSES FROM 5D STANDING WAVES." Modern Physics Letters A 25, no. 25 (August 20, 2010): 2131–43. http://dx.doi.org/10.1142/s021773231003358x.

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We construct simple standing wave solutions in a 5D spacetime with a ghost-like scalar field. The nodes of these standing waves are "islands" of 4D anti-de Sitter spacetime. In the case of increasing (decreasing) warp factor, there are a finite (infinite) number of nodes and thus a finite (infinite) number of anti-de Sitter island-universes having different gravitational and cosmological constants. This is similar to the landscape models, which postulate a large number of universes with different parameters.

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13

TER VELDHUIS, TONNIS. "SOLITONS IN TWO-DIMENSIONAL ANTI-DE SITTER SPACE." International Journal of Modern Physics A 25, no. 02n03 (January 30, 2010): 289–99. http://dx.doi.org/10.1142/s0217751x10048615.

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Soliton solutions in a scalar field theory defined on an AdS1+1 background space-time are investigated. An analytic soliton solution is obtained in a polynomial model, and the classical soliton mass is calculated. The fluctuation spectrum around the soliton solution is determined, and the one-loop quantum correction to the soliton mass is computed in the semi-classical approximation.

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14

KANNO, SUGUMI, and JIRO SODA. "EXACT COLEMAN–DE LUCCIA INSTANTONS." International Journal of Modern Physics D 21, no. 05 (May 2012): 1250040. http://dx.doi.org/10.1142/s021827181250040x.

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We present exact Coleman–De Luccia (CDL) instantons, which describe vacuum decay from Anti-de Sitter (AdS) space, de Sitter (dS) space and Minkowski space to AdS space. We systematically obtain these exact solutions by considering deformation of Hawking-Moss (HM) instantons. We analytically calculate the action of instantons and discuss a subtlety in calculation of decay rates.

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15

Cai, Rong-Gen, and J. B. Griffiths. "Null particle solutions in three-dimensional (anti-) de Sitter spaces." Journal of Mathematical Physics 40, no. 7 (July 1999): 3465–75. http://dx.doi.org/10.1063/1.532900.

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16

Dias, Óscar J. C., Gary T. Horowitz, Don Marolf, and Jorge E. Santos. "On the nonlinear stability of asymptotically anti-de Sitter solutions." Classical and Quantum Gravity 29, no. 23 (November 2, 2012): 235019. http://dx.doi.org/10.1088/0264-9381/29/23/235019.

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17

Ruz, Soumendranath, Kaushik Sarkar, Nayem Sk, and Abhik Kumar Sanyal. "Validating variational principle for higher order theory of gravity." Modern Physics Letters A 30, no. 24 (July 23, 2015): 1550119. http://dx.doi.org/10.1142/s0217732315501199.

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Metric variation of higher order theory of gravity requires fixing of the Ricci scalar in addition to the metric tensor at the boundary. Fixing Ricci scalar at the boundary implies that the classical solutions are fixed once and forever to the de Sitter or anti-de Sitter (dS/AdS) solutions. Here, we justify such requirement from the standpoint of Noether symmetry.

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18

DARIESCU, CIPRIAN. "HIGGS–ANTI-DE SITTER SPACETIME BUBBLES FROM SPONTANEOUS Z2-VIOLATION AT ELECTROWEAK SYMMETRY BREAKING SCALE." International Journal of Modern Physics D 13, no. 04 (April 2004): 641–57. http://dx.doi.org/10.1142/s0218271804003676.

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The Einstein–Gordon equations for Friedmann–Robertson–Walker (FRW) geometries in feedback reaction with the quartically self-interacting physical field, arisen from the spontaneous Z2-symmetry breaking, are explicitly formulated. The fixed point exact solutions to the "inner parity" non-invariant Einstein–Gordon system (mandatory) describe (k=-1)-FRW manifolds which actually are either Milne or anti-de Sitter Universes. Setting the Z2-invariance breaking scale at one of the electroweak symmetry, we speculate on the cosmological implications of the Higgs–anti-de Sitter bubbles and derive a set of closed-form solutions to the S2-cobordism with a spatially-flat FRW Universe.

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19

KAMIMURA, KIYOSHI, SHINOBU MAKITA, and TAKESHI FUKUYAMA. "SPHERICALLY SYMMETRIC VACUUM SOLUTION IN ASHTEKAR'S FORMULATION OF GRAVITY." Modern Physics Letters A 06, no. 33 (October 30, 1991): 3047–53. http://dx.doi.org/10.1142/s0217732391003547.

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The Schwarzschild–de Sitter solution of Einstein equation is discussed in the Ashtekar formalism. The gauge connections have a similar form to those non-Abelian monopole solutions. In the de Sitter space we find a monopole at the North pole and an anti-monopole at the South pole of S3.

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20

Palmieri, Alessandro, and Hiroyuki Takamura. "On a semilinear wave equation in anti-de Sitter spacetime: The critical case." Journal of Mathematical Physics 63, no. 11 (November 1, 2022): 111505. http://dx.doi.org/10.1063/5.0086614.

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In the present paper, we prove the blow-up in finite time for local solutions of a semilinear Cauchy problem associated with a wave equation in anti-de Sitter spacetime in the critical case. According to this purpose, we combine a result for ordinary differential inequalities with an iteration argument by using an explicit integral representation formula for the solution to a linear Cauchy problem associated with the wave equation in anti-de Sitter spacetime in one space dimension.

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21

Gaudin, Michel, and Ugo Moschella. "Doubly elliptic strings on the (anti) de Sitter manifold." International Journal of Geometric Methods in Modern Physics 12, no. 03 (February 27, 2015): 1550032. http://dx.doi.org/10.1142/s0219887815500322.

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We present a new class of elliptic-like strings on two-dimensional manifolds of constant curvature. Our solutions are related to a class of identities between Jacobi theta functions and to the geometry of the light-cone in one dimension more. We show in particular that two well-known fundamental identities among theta functions have a natural interpretation as expressing the Virasoro constraints of dS or AdS strings.

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22

Yu, Shuang, and Changjun Gao. "Exact black hole solutions with nonlinear electrodynamic field." International Journal of Modern Physics D 29, no. 05 (March 9, 2020): 2050032. http://dx.doi.org/10.1142/s0218271820500327.

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We construct exact black hole solutions to Einstein gravity with nonlinear electrodynamic field. In these solutions, there are, in general, four parameters. They are physical mass, electric charge, cosmological constant and the coupling constant. These solutions differ significantly from the Reissner–Nordström–de Sitter solution in Einstein–Maxwell gravity with a cosmological constant, due to the presence of coupling constant. For example, some of them are endowed with a topological defect on angle [Formula: see text] and the electric charge of some can be much larger or smaller than their mass by varying the coupling constant. On the other hand, these spacetimes are all asymptotically de Sitter (or anti-de Sitter). As a result, their causal structure is similar to the Reissner–Nordström–de Sitter spacetime. Finally, the investigations on the thermodynamics reveal that the coupling constant except for solution-4 has the opposite effect as temperature on the phase, structure of black holes. Concretely, the phase-space changes from single phase to three phases with the decrease of temperature. On the contrary, it changes from three phases to a single phase with the decrease of coupling constant.

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23

de Oliveira, Christyan C., Ricardo A. Mosna, and João Paulo M. Pitelli. "Boundary conditions for isolated asymptotically anti-de Sitter spacetimes." Journal of Mathematical Physics 63, no. 4 (April 1, 2022): 042501. http://dx.doi.org/10.1063/5.0078118.

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We revisit the propagation of classical scalar fields in a spacetime, which is asymptotically anti-de Sitter. The lack of global hyperbolicity of the underlying background gives rise to an ambiguity in the dynamical evolution of solutions of the wave equation, requiring the prescription of extra boundary conditions at the conformal infinity to be fixed. We show that the only boundary conditions that are compatible with the hypothesis that the system is isolated, as defined by the (improved) energy–momentum tensor, are of Dirichlet and Neumann types.

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24

Choquet-Bruhat, Y. "Global solutions of Yang-Mills equations on anti-de Sitter spacetime." Classical and Quantum Gravity 6, no. 12 (December 1, 1989): 1781–89. http://dx.doi.org/10.1088/0264-9381/6/12/007.

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25

Dehghani, M. H., and A. Bazrafshan. "Asymptotically anti-de Sitter magnetic branes in (n + 1)-dimensional dilaton gravity." Canadian Journal of Physics 89, no. 11 (November 2011): 1163–69. http://dx.doi.org/10.1139/p11-114.

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We present a new class of asymptotically anti-de Sitter (AdS) magnetic solutions in (n + 1)-dimensional dilaton gravity in the presence of an appropriate combination of three Liouville-type potentials. This class of solutions is asymptotically AdS in six and higher dimensions and yields a space–time with a longitudinal magnetic field generated by a static brane. These solutions have no curvature singularity and no horizons but have a conic geometry with a deficit angle. We find that the brane tension depends on the dilaton field and approaches a constant as the coupling constant of the dilaton field goes to infinity. We generalized this class of solutions to the case of spinning magnetic solutions and find that, when one or more rotation parameters are nonzero, the brane has a net electric charge that is proportional to the magnitude of the rotation parameters. Finally, we used the counterterm method inspired by AdS – conformal field theory correspondence and computed the conserved quantities of these space–times. We found that the conserved quantities do not depend on the dilaton field, which is evident from the fact that the dilaton field vanishes on the boundary at infinity.

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26

MIGNEMI, S. "SOLUTIONS OF DEFORMED THREE-DIMENSIONAL GRAVITY." International Journal of Modern Physics A 20, no. 04 (February 10, 2005): 799–810. http://dx.doi.org/10.1142/s0217751x0501952x.

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We investigate the gauging of a three-dimensional deformation of the anti-de Sitter algebra, which accounts for the existence of an invariant energy scale. By means of the Poisson sigma model formalism, we obtain explicit solutions of the field equations, which reduce to the BTZ black hole in the undeformed limit.

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27

Chen, Chun-Hung, Hing-Tong Cho, Anna Chrysostomou, and Alan S. Cornell. "Asymptotic quasinormal frequencies of different spin fields in d-dimensional spherically-symmetric black holes." Classical and Quantum Gravity 39, no. 5 (February 3, 2022): 055001. http://dx.doi.org/10.1088/1361-6382/ac4955.

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Abstract While Hod’s conjecture is demonstrably restrictive, the link he observed between black hole (BH) area quantisation and the large overtone (n) limit of quasinormal frequencies (QNFs) motivated intense scrutiny of the regime, from which an improved understanding of asymptotic quasinormal frequencies (aQNFs) emerged. A further outcome was the development of the ‘monodromy technique’, which exploits an anti-Stokes line analysis to extract physical solutions from the complex plane. Here, we use the monodromy technique to validate extant aQNF expressions for perturbations of integer spin, and provide new results for the aQNFs of half-integer spins within higher-dimensional Schwarzschild, Reissner–Nordström, and Schwarzschild (anti-)de Sitter BH spacetimes. Bar the Schwarzschild anti-de Sitter case, the spin-1/2 aQNFs are purely imaginary; the spin-3/2 aQNFs resemble spin-1/2 aQNFs in Schwarzschild and Schwarzschild de Sitter BHs, but match the gravitational perturbations for most others. Particularly for Schwarzschild, extremal Reissner–Nordström, and several Schwarzschild de Sitter cases, the application of n → ∞ generally fixes R e { ω } and allows for the unbounded growth of I m { ω } in fixed quantities.

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28

Aygün, S., H. Baysal, C. Aktaş, İ. Yılmaz, P. K. Sahoo, and İ. Tarhan. "Teleparallel energy–momentum distribution of various black hole and wormhole metrics." International Journal of Modern Physics A 33, no. 30 (October 30, 2018): 1850184. http://dx.doi.org/10.1142/s0217751x18501841.

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Using the Einstein, Bergmann–Thomson (BT) and Landau–Lifshitz (LL) energy and momentum formulations in teleparallel gravity (TG), we obtain the total energy and momentum distributions for phantom black hole metric. We get different energy distributions similar to the earlier study and the momentum distributions vanish for phantom black hole metric in TG. These momentum solutions agree with the study of Sahoo et al. in general relativity. However, using Einstein, Bergmann–Thomson and Landau–Lifshitz energy and momentum complexes, we investigate regular black hole, asymptotically flat wormhole, anti-de Sitter wormhole and Ellis wormhole solutions in TG. We obtain (i) same BT and LL energy density solutions for regular black hole metric, (ii) same and zero energy distribution for asymptotically flat wormhole, (iii) proportion with Einstein and BT energy density solutions for anti-de Sitter wormhole, (iv) same and negative Einstein and BT energy density solutions for Ellis wormhole in TG.

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29

Lin, Kai, Wei-Liang Qian, A. B. Pavan, and E. Abdalla. "(Anti-) de Sitter electrically charged black-hole solutions in higher-derivative gravity." EPL (Europhysics Letters) 114, no. 6 (June 1, 2016): 60006. http://dx.doi.org/10.1209/0295-5075/114/60006.

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30

BANDYOPADHYAY, TANWI, ANUSUA BAVEJA, and SUBENOY CHAKRABORTY. "STABILITY ANALYSIS OF THIN SHELL WORMHOLES SUPPORTED BY THE MODIFIED CHAPLYGIN GAS." International Journal of Modern Physics D 18, no. 13 (December 15, 2009): 1977–90. http://dx.doi.org/10.1142/s0218271809015084.

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In this work, the stability of static solutions of spherical thin shell wormholes is analyzed when a slight perturbation (which preserves the basic symmetry) is applied to them. The modified Chaplygin gas (with α = 1 in the equation of state) has been chosen as a candidate for exotic matter needed around the throat. Different cases for such thin shell wormhole construction have been studied, viz. wormholes constructed from Schwarzschild, Schwarzschild–de Sitter, Schwarzschild–anti-de Sitter and Reissner–Nordström metrics. Depending upon the values of the parameters and some restrictions obeyed by them, static stable solutions are seen to exist in some cases.

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31

Nashed, G. G. L., and S. Capozziello. "Charged anti-de Sitter BTZ black holes in Maxwell-f(T) gravity." International Journal of Modern Physics A 33, no. 13 (May 9, 2018): 1850076. http://dx.doi.org/10.1142/s0217751x18500768.

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Inspired by the Bañados, Teitelboim and Zanelli (BTZ) formalism, we discuss the Maxwell-[Formula: see text] gravity in [Formula: see text] dimensions. The main task is to derive exact solutions for a special form of [Formula: see text], with [Formula: see text] being the torsion scalar of Weitzenböck geometry. To this end, a triad field is applied to the equations of motion of charged [Formula: see text] and sets of circularly symmetric noncharged and charged solutions have been derived. We show that, in the charged case, the monopole-like and the [Formula: see text] terms are linked by a correlative constant despite the known results in teleparallel geometry and its extensions.[Formula: see text] Furthermore, it is possible to show that the event horizon is not identical with the Cauchy horizon due to such a constant. The singularities and the horizons of these black holes are examined: they are new and have no analogue in the literature due to the fact that their curvature singularities are soft. We calculate the energy content of these solutions by using the general vector form of the energy–momentum within the framework of [Formula: see text] gravity. Finally, some thermodynamical quantities, like entropy and Hawking temperature, are derived.

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GHOSH, SUSHANT G. "NONSTATIC CHARGED BTZ-LIKE BLACK HOLES IN N+1 DIMENSIONS." International Journal of Modern Physics D 21, no. 03 (March 2012): 1250022. http://dx.doi.org/10.1142/s0218271812500228.

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We find an exact nonstatic charged BTZ-like solutions, in (N+1)-dimensional Einstein gravity in the presence of negative cosmological constant and a nonlinear Maxwell field defined by a power s of the Maxwell invariant, which describes the gravitational collapse of charged null fluid in an anti-de Sitter background. Considering the situation that a charged null fluid injects into the initially an anti-de Sitter spacetime, we show that a black hole form rather than a naked singularity, irrespective of spacetime dimensions, from gravitational collapse in accordance with cosmic censorship conjecture. The structure and locations of the apparent horizons of the black holes are also determined. It is interesting to see that, in the static limit and when N = 2, one can retrieve 2+1 BTZ black hole solutions.

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ATIQUR RAHMAN, M. "NUMERICAL SOLUTIONS OF IDEAL TWO-FLUID TRANSVERSE EQUATIONS VERY CLOSED TO THE EVENT HORIZON OF REISSNER–NORDSTRÖM–ANTI-DE SITTER BLACK HOLE." International Journal of Modern Physics D 22, no. 09 (June 26, 2013): 1350063. http://dx.doi.org/10.1142/s0218271813500636.

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The Alfvén and high frequency electromagnetic waves propagating in a relativistic two-fluid plasma influenced by the gravitational field of the Reissner–Nordström–anti-de Sitter (RNAdS) black hole have been investigated applying 3+1 split of spacetime. The extremal cases also discussed here based on the simple observation that the near-horizon geometry of a static extremal black hole contains two-dimensional anti-de Sitter factor even in the presence of positive cosmological constant. We reformulate the relativistic two-fluid equations with the set of simultaneous linear equations for the perturbations. We derive the dispersion relation for these waves and solve numerically for the wave number k.

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Ghosh, Shubhrangshu, and Prabir Banik. "Characteristics of transonic spherical symmetric accretion flow in Schwarzschild-de Sitter and Schwarzschild anti-de Sitter backgrounds, in pseudo-general relativistic paradigm." International Journal of Modern Physics D 24, no. 11 (September 6, 2015): 1550084. http://dx.doi.org/10.1142/s0218271815500844.

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In this paper, we present a complete work on steady state spherically symmetric Bondi type accretion flow in the presence of cosmological constant (Λ) in both Schwarzschild-de Sitter (SDS) and Schwarzschild anti-de Sitter (SADS) backgrounds considering an isolated supermassive black hole (SMBH), with the inclusion of a simple radiative transfer scheme, in the pseudo-general relativistic paradigm. We do an extensive analysis on the transonic behavior of the Bondi type accretion flow onto the cosmological BHs including a complete analysis of the global parameter space and the stability of flow, and do a complete study of the global family of solutions for a generic polytropic flow. Bondi type accretion flow in SADS background renders multiplicity in its transonic behavior with inner "saddle" type and outer "center" type sonic points, with the transonic solutions forming closed loops or contours. There is always a limiting value for ∣Λ∣ up to which we obtain valid stationary transonic solutions, which correspond to both SDS and SADS geometries; this limiting value moderately increases with the increasing radiative efficiency of the flow, especially correspond to Bondi type accretion flow in SADS background. Repulsive Λ suppresses the Bondi accretion rate by an order of magnitude for relativistic Bondi type accretion flow for a certain range in temperature, and with a marginal increase in the Bondi accretion rate if the corresponding accretion flow occurs in SADS background. However, for a strongly radiative Bondi type accretion flow with high mass accretion rate, the presence of cosmological constant do not much influence the corresponding Bondi accretion rate of the flow. Our analysis show that the relic cosmological constant has a substantial effect on Bondi type accretion flow onto isolated SMBHs and their transonic solutions beyond length-scale of kiloparsecs, especially if the Bondi type accretion occurs onto the host supergiant ellipticals or central dominant (CD) galaxies directly from ambient intercluster medium (ICM). However, for high mass accretion rate, the influence of cosmological constant on Bondi accretion dynamics, generically, diminishes. As active galactic nuclei (AGN)/ICM feedback can be advertently linked to Bondi type spherical accretion, any proper modeling of AGN feedback or megaparsecs-scale jet dynamics or accretion flow from ICM onto the central regions of host galaxies should take into account the relevant information of repulsive Λ, especially in context to supergiant elliptical galaxies or CD galaxies present in rich galaxy clusters. This could also explore the feasibility to limit the value of Λ, from the kinematics in local galactic-scales.

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Robb, T., and J. G. Taylor. "Anti-de sitter × S1 × M5compact solutions for N = 2, d = 10 chiral supergravity." Physics Letters B 155, no. 1-2 (May 1985): 59–64. http://dx.doi.org/10.1016/0370-2693(85)91032-9.

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Halpern, Paul, and Jennifer Roberts. "Black Plane Solutions and Localized Gravitational Energy." International Scholarly Research Notices 2015 (August 6, 2015): 1–4. http://dx.doi.org/10.1155/2015/109329.

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We explore the issue of gravitational energy localization for static plane-symmetric solutions of the Einstein-Maxwell equations in 3+1 dimensions with asymptotic anti-de Sitter behavior. We apply three different energy-momentum complexes, the Einstein, Landau-Lifshitz, and Møller prescriptions, to the metric representing this category of solutions and determine the energy distribution for each. We find that the three prescriptions offer identical energy distributions, suggesting their utility for this type of model.

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CASTRO, CARLOS. "IMPORTANT REMARKS ON (ANTI) de SITTER SPACES AND THE COSMOLOGICAL CONSTANT." Modern Physics Letters A 21, no. 35 (November 20, 2006): 2685–701. http://dx.doi.org/10.1142/s0217732306021748.

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A class of proper and novel generalizations of the (anti) de Sitter solutions (parametrized by a family of radial functions R(r)) are presented that could provide a very plausible resolution of the cosmological constant problem along with a natural explanation of the ultraviolet/infrared (uv/ir) entanglement required to solve this problem. A nonvanishing value of the vacuum energy density of the order of [Formula: see text] is derived in agreement with the experimental observations. The presence of the radial function R(r) is instrumental to understand why the cosmological constant is not zero and why it is so tiny. The correct lower estimate of the mass of the observable universe related to the Dirac–Eddington's large number N = 1080 is also obtained. Finally we present our most recent findings of how Weyl Geometry via a Brans–Dicke scalar field solves the riddle of dark energy in addition to providing another derivation of the vacuum energy density.

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HOLZEGEL, GUSTAV. "WELL-POSEDNESS FOR THE MASSIVE WAVE EQUATION ON ASYMPTOTICALLY ANTI-DE SITTER SPACETIMES." Journal of Hyperbolic Differential Equations 09, no. 02 (June 2012): 239–61. http://dx.doi.org/10.1142/s0219891612500087.

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In this paper, we prove a well-posedness theorem for the massive wave equation (with the mass satisfying the Breitenlohner–Freedman bound) on asymptotically anti-de Sitter spaces. The solution is constructed as a limit of solutions to an initial boundary value problem with boundary at a finite location in spacetime by finally pushing the boundary out to infinity. The solution obtained is unique within the energy class (but non-unique if the decay at infinity is weakened).

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Gomes, D., and E. Capelas De Oliveira. "The second-order Klein-Gordon field equation." International Journal of Mathematics and Mathematical Sciences 2004, no. 69 (2004): 3775–81. http://dx.doi.org/10.1155/s0161171204406565.

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We introduce and discuss the generalized Klein-Gordon second-order partial differential equation in the Robertson-Walker space-time, using the Casimir second-order invariant operator written in hyperspherical coordinates. The de Sitter and anti-de Sitter space-times are recovered by means of a convenient choice of the parameter associated to the space-time curvature. As an application, we discuss a few properties of the solutions. We also discuss the case where we have positive frequency exponentials and the creation and annihilation operators of particles with known quantum numbers. Finally, we recover the Minkowskian case, that is, the case of null curvature.

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Naji, J. "The Hawking temperature in the context of dark energy for four-dimensional asymptotically AdS black holes with scalar hair." Canadian Journal of Physics 94, no. 1 (January 2016): 35–41. http://dx.doi.org/10.1139/cjp-2015-0545.

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New solutions of four-dimensional asymptotically anti-de Sitter black holes with scalar hair are considered and Hawking temperature in the context of dark energy is discussed using the tunneling method. We obtain a modification of the Hawking temperature because of the presence of dark energy.

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Heydarzade, Y., H. Moradpour, and F. Darabi. "Black hole solutions in Rastall theory." Canadian Journal of Physics 95, no. 12 (December 2017): 1253–56. http://dx.doi.org/10.1139/cjp-2017-0254.

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The Reissner–Nordström black hole solution in a generic cosmological constant background in the context of Rastall gravity is obtained. It is shown that the cosmological constant arises naturally from the consistency of the non-vacuum field equations of the Rastall theory for a spherical symmetric space–time, rather than its ad hoc introduction in the usual Einstein and Einstein–Maxwell field equations. The usual Reissner–Nordström, Schwarzschild, and Schwarzschild – (anti-)de Sitter black hole solutions in the framework of this theory are also addressed as the special independent subclasses of the obtained general solution.

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MOROZOVA, V. S., and S. G. GHOSH. "THEOREM TO GENERATE NON-SPHERICAL RADIATING BLACK HOLE SOLUTIONS." Modern Physics Letters A 23, no. 15 (May 20, 2008): 1115–27. http://dx.doi.org/10.1142/s0217732308026613.

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We prove a theorem that characterizes a two-parameter family of solutions to Einstein equations with a negative cosmological constant, representing, in general, non-spherical radiating black holes in an anti-de Sitter background. It is shown that the best known non-spherical radiating black hole solutions are particular cases and static non-spherical black hole solutions, for Type I fluid, are also retrieved. A brief discussion on the energy conditions, singularities and horizons is provided.

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Ioannidou, Theodora. "Bogomolny Yang$ndash$Mills$ndash$Higgs solutions in (2+1) anti-de Sitter space." Nonlinearity 15, no. 5 (July 22, 2002): 1489–97. http://dx.doi.org/10.1088/0951-7715/15/5/308.

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Hartmann, Betti, Yves Brihaye, and Bruno Bertrand. "Spherically symmetric Yang–Mills solutions in a 5-dimensional (Anti-) de Sitter space–time." Physics Letters B 570, no. 3-4 (September 2003): 137–44. http://dx.doi.org/10.1016/j.physletb.2003.07.053.

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Dold, Dominic. "Unstable Mode Solutions to the Klein–Gordon Equation in Kerr-anti-de Sitter Spacetimes." Communications in Mathematical Physics 350, no. 2 (October 18, 2016): 639–97. http://dx.doi.org/10.1007/s00220-016-2783-8.

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Bhattacharyya, Jishnu, and David Mattingly. "Universal horizons in maximally symmetric spaces." International Journal of Modern Physics D 23, no. 13 (November 2014): 1443005. http://dx.doi.org/10.1142/s0218271814430056.

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Universal horizons in Hořava–Lifshitz gravity and Einstein-æther theory are the equivalent of causal horizons in general relativity and appear to have many of the same properties, including a first law of horizon thermodynamics and thermal radiation. Since universal horizons are infrared (IR) solutions of a putative power counting renormalizable quantum gravitational theory, fully understanding their thermodynamics will shed light on the interplay between black hole thermodynamics and quantum gravity. In this paper, we provide a complete classification, including asymptotic charges, of all four-dimensional static and spherically symmetric universal horizon solutions with maximally symmetric asymptotics — the equivalents of the Schwarzschild, Schwarzschild–de Sitter or Schwarzschild–anti-de Sitter spacetimes. Additionally, we derive the associated first laws for the universal horizon solutions. Finally, we prove that independent of asymptotic boundary conditions, any spherically symmetric solution in Hořava–Lifshitz gravity with a universal horizon is also a solution of Einstein-æther theory, thereby broadening and complementing the known equivalence region of the solution spaces.

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Kadlecová, Hedvika, and Jiří Podolský. "Radiation in models with cosmological constant." Proceedings of the International Astronomical Union 2, S238 (August 2006): 387–88. http://dx.doi.org/10.1017/s1743921307005583.

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AbstractWe analyze the asymptotic directional structure and properties of gravitational field of specific exact solutions belonging to the large family of black hole spacetimes of type D found by Plebański and Demiański. We discuss the structure in the case of de Sitter (Λ>0) and anti–de Sitter (Λ<0) conformal infinity. With the aim of further interpretation, we have found the relation between the structure of the sources (the mass m, the electric e and magnetic g charges, the NUT parameter l, the rotational parameter a, the acceleration α) and the properties of radiation generated by them. In particular, we studied the amplitude of radiation and illustrated it in several figures.

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Raju, Suvrat. "Is holography implicit in canonical gravity?" International Journal of Modern Physics D 28, no. 14 (October 2019): 1944011. http://dx.doi.org/10.1142/s0218271819440115.

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We conjecture that in asymptotically anti-de Sitter (AdS) space, two solutions of the Wheeler-DeWitt (WdW) equation that coincide asymptotically must also coincide in the bulk. This suggests that the essential elements of holography are already present in canonical gravity. Our argument sheds light on why holography works only in gravitational theories, and also on the significance of AdS boundary conditions.

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Podolský, Jirí. "Interpretation of the Siklos solutions as exact gravitational waves in the anti-de Sitter universe." Classical and Quantum Gravity 15, no. 3 (March 1, 1998): 719–33. http://dx.doi.org/10.1088/0264-9381/15/3/019.

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50

MAENO, MASAHIRO, and ICHIRO ODA. "CLASSICAL SOLUTIONS OF GHOST CONDENSATION MODELS." Modern Physics Letters B 22, no. 31 (December 20, 2008): 3025–34. http://dx.doi.org/10.1142/s0217984908017655.

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Motivated by ideas obtained from both ghost condensation and gravitational Higgs mechanism, we attempt to find classical solutions in the unitary gauge in general ghost condensation models. It is shown that depending on the form of scalar fields in an action, there are three kinds of exact solutions, which are (anti-) de Sitter space–time, polynomially expanding universes and flat Minkowski space–time. We briefly comment on gravitational Higgs mechanism in these models where we have massive gravitons of five degrees of freedom and one unitary scalar field (Nambu–Goldstone boson) after spontaneous symmetry breakdown of general coordinate reparametrization invariance. The models at hand are free from the problem associated with the non-unitary propagating mode.

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