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Academic literature on the topic 'Anti-de Sitter solutions'

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Published: 9 March 2023
Last updated: 10 March 2023

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

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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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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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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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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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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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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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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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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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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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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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Dissertations / Theses on the topic "Anti-de Sitter solutions"

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ROTA, ANDREA. "Holography for six dimensional theories: a universal framework." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2015. http://hdl.handle.net/10281/94885.

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It is challenging to define higher dimensional quantum field theories. For example, a Lagrangian description is often lacking. Moreover, gauge theories are non renormalizable in d > 4. A possible ultraviolet completion is string theory, which is a natural arena for the study of many interesting field theories. In particular, string theory provides us with a powerful tool for the study of conformal field theories: the AdS/CFT correspondence. The AdS/CFT is a duality that relates a theory of quantum gravity in Anti de Sitter space in (p+2)-dimensions to a conformal field theory in (p+1)-dimensions, an explicit realization of the so called holographic principle which is possible thanks to the presence of Dp-branes. These are p-dimensional objects that act as sources of gravity, carrying a (p+1)-dimensional gauge theory on their world volume. In the so called decoupling limit, the gauge degrees of freedom living on the brane decouple from gravity, which results in a AdS(p+2) vacuum state. In this thesis we use holography to study six dimensional theories. In particular we consider the so called (1, 0) conformal field theories, which are the half supersymmetric cousins of the more popular (2,0) theories living on M5 branes, whose gravity dual is the maximally supersymmetric vacuum AdS7 × S4 of M-theory. The simplest example of (1, 0) theory can be obtained orbifolding this solution. More general (1, 0) theories can be constructed in the AdS/CFT setup via brane configurations involving NS5, D6 and D8 branes. In the decoupling limit these configurations give rise to AdS7 vacua in massive type IIA supergravity. We give a complete classification of these vacua, with an infinite class of analytic solutions that correspond to infinite possible configurations of branes. The resulting internal space M3 has the topology of a three sphere, with SU(2) isometry and physical singularities at the points where the branes are located. We also classify all possible compactifications of these solutions, obtained wrapping the branes on two, three and four-manifolds of negative curvature, leading to AdS5, AdS4 and AdS3 vacua. Complete flows connecting AdS7 to the lower dimensional vacua can be constructed, suggesting the existence of a renormalization group flow between the six dimensional CFT at high energies and a lower dimensional CFT in four, three, two-dimensions at low energies. Even though these lower dimensional theories are not yet known, they now have a holographic description. The AdS4 solutions are also interesting as four-dimensional vacua with localized sources. The compactification procedure is so universal it suggests to consider a complete reduction ansatz of type IIA supergravity on the internal space M3. Indeed, the dimensional reduction leads to minimal gauged supergravity in seven dimensions, a theory with sixteen supercharges and an SU(2) gauge field. This reduction procedure does not depend on the details of the internal space M3 and thereby on the particular choice of brane configuration. We can thus claim to have a universal consistent truncation for 6d/7d gauge/gravity duals.
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Hruška, Ondřej. "Studium geometrických a fyzikálních vlastností přesných prostoročasů." Doctoral thesis, 2019. http://www.nusl.cz/ntk/nusl-406240.

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In this work, we study geometrical and physical properties of exact spacetimes that belong to non-expanding Pleba'nski-Demia'nski class. It is a family of solutions of type D that also belong to the Kundt class, and contain seven arbitrary parameters including a cosmological constant. We present here the results of three extensive articles, each focusing on a different aspect of the problem. In the first article, we investigate the meaning of individual parame- ters in the non-expanding Pleba'nski-Demia'nski metric. First, we set almost all parameters to zero and obtain Minkowski and (anti-)de Sitter backgrounds. Af- terwards, we allow other parameters to be non-zero and we study the B-metrics, non-singular "anti-NUT" solutions and conclude with the full electrovacuum Pleba'nski-Demia'nski metric. In the second article, we focus on the de Sitter and anti-de Sitter backgrounds where we present and analyse 11 new diagonal metric forms of (anti-)de Sitter spacetime. We find five-dimensional parametriza- tions, draw coordinate surfaces and conformal diagrams. In the third article, we show that the AII-metric together with the BI-metric describes gravitational field around a tachyon on both Minkowski and (anti-)de Sitter backgrounds. Fi- nally, in order to better understand the global structure and...
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Books on the topic "Anti-de Sitter solutions"

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Chruściel, Piotr T. Geometry of Black Holes. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198855415.001.0001.

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There exists a large scientific literature on black holes, including many excellent textbooks of various levels of difficulty. However, most of these prefer physical intuition to mathematical rigour. The object of this book is to fill this gap and present a detailed, mathematically oriented, extended introduction to the subject. The first part of the book starts with a presentation, in Chapter 1, of some basic facts about Lorentzian manifolds. Chapter 2 develops those elements of Lorentzian causality theory which are key to the understanding of black-hole spacetimes. We present some applications of the causality theory in Chapter 3, as relevant for the study of black holes. Chapter 4, which opens the second part of the book, constitutes an introduction to the theory of black holes, including a review of experimental evidence, a presentation of the basic notions, and a study of the flagship black holes: the Schwarzschild, Reissner–Nordström, Kerr, and Majumdar–Papapetrou solutions of the Einstein, or Einstein–Maxwell, equations. Chapter 5 presents some further important solutions: the Kerr–Newman–(anti-)de Sitter black holes, the Emperan–Reall black rings, the Kaluza–Klein solutions of Rasheed, and the Birmingham family of metrics. Chapters 6 and 7 present the construction of conformal and projective diagrams, which play a key role in understanding the global structure of spacetimes obtained by piecing together metrics which, initially, are expressed in local coordinates. Chapter 8 presents an overview of known dynamical black-hole solutions of the vacuum Einstein equations.
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Book chapters on the topic "Anti-de Sitter solutions"

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Chruściel, Piotr T. "Further selected solutions." In Geometry of Black Holes, 200–258. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198855415.003.0005.

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In previous chapters we presented the key notions associated with stationary black-hole spacetimes, as well as the minimal set of metrics needed to illustrate the basic features of the world of black holes. In this chapter we present some further black holes, selected because of their physical and mathematical interest. We start, in Section 5.1, with the Kerr–de Sitter/anti-de Sitter metrics, the cosmological counterparts of the Kerr metrics. Section 5.2 contains a description of the Kerr–Newman–de Sitter/anti-de Sitter metrics, which are the charged relatives of the metrics presented in Section 5.1. In Section 5.3 we analyse in detail the global structure of the Emparan–Reall ‘black rings’: these are five-dimensional black-hole spacetimes with R × S 1 × S 2-horizon topology. The Rasheed metrics of Section 5.4 provide an example of black holes arising in Kaluza–Klein theories. The Birmingham family of metrics, presented in Section 5.5, forms the most general class known of explicit static vacuum metrics with cosmological constant in all dimensions, with a wide range of horizon topologies.
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Carlip, Steven. "Cosmology." In General Relativity, 92–100. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198822158.003.0011.

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Starting with the assumptions of homogeneity and isotropy, the cosmological solutions of the Einstein field equations—the Friedmann-Lemaitre-Robertson-Walker metrics—are derived. After a discussion of constant curvature metrics and the topology of the Universe, the chapter moves on to discuss observational implications: expansion of the Universe, cosmological red shift, primordial nucleosynthesis, the cosmic microwave background, and primordial perturbations. The chapter includes a brief discussion of de Sitter and anti-de Sitter space and an introduction to inflation.
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d’Inverno, Ray, and James Vickers. "The classical cosmological models." In Introducing Einstein's Relativity, 511–38. 2nd ed. Oxford University PressOxford, 2022. http://dx.doi.org/10.1093/oso/9780198862024.003.0025.

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Abstract Chapter 25 mostly discusses the mathematical features of the classical FRW cosmological models (where FRW stands for Friedmann–Robertson–Walker) that one obtains by solving the Friedmann equation. It looks at how these relate to the observational evidence as well as considering some more sophisticated models in the next chapter. It also provides a more complete analysis of the various Friedmann models. These include Einstein static space, de Sitter space, and anti-de Sitter space. The early epochs of the universe and the historically significant steady-state theory are next discussed. The conformal structure of these solutions is examined and the Penrose diagrams constructed. This shows that a number of solutions have particle horizons and/or event horizons, which means that only a portion of the space-time can be seen by any observer.
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Semenoff, Gordon W. "Lectures on the holographic duality of gauge fields and strings." In Integrability: From Statistical Systems to Gauge Theory, 121–82. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198828150.003.0003.

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This chapter gives a pedagogical review of the holographic duality between string theory and quantum field theory. The main focus is on the duality of maximally supersymmetric Yang–Mills gauge theory in four dimensions with string theory in asymptotically anti-de Sitter backgrounds. This duality is motivated using the large N expansion in the rank of the gauge group, as well as the D-brane solution for the AdS string theory background. The computation of Wilson loops on both sides of the duality is given as an example.
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Conference papers on the topic "Anti-de Sitter solutions"

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MAEDA, KENGO. "INHOMOGENEOUS CHARGED BLACK HOLE SOLUTIONS IN ASYMPTOTICALLY ANTI-DE SITTER SPACETIME." In Proceedings of the MG13 Meeting on General Relativity. WORLD SCIENTIFIC, 2015. http://dx.doi.org/10.1142/9789814623995_0115.

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Ioannidou, Theodora. "Bogomolny Yang-Mills-Higgs solutions in 2+1 anti-de-Sitter space." In Workshop on Integrable Theories, Solitons and Duality. Trieste, Italy: Sissa Medialab, 2002. http://dx.doi.org/10.22323/1.008.0019.

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LaCoursiere, Marissa, Daryush K. Aidun, Pier Marzocca, and Howard Lee. "An Experimental Study Investigating the Corrosion Behavior of Cu-Ni Alloys in Waters Treated and Untreated With Anti-Corrosives." In ASME 2009 International Mechanical Engineering Congress and Exposition. ASMEDC, 2009. http://dx.doi.org/10.1115/imece2009-13341.

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This paper discusses an experimental study on how water quality affects the corrosion rate of Cu-Ni Alloys, such as those used within a heat exchanger system. Various types of water suitable for the heat exchanger operation have been tested to predict the duration during which corrosion would become a risk. Since corrosion is governed by electrochemistry, an electrochemical experimental setup was designed, consisting of a three-electrode electrochemical cell designed to simulate the on-site state and conditions of a 90–10 Cu-Ni tube bundle inside the heat exchanger. The working electrode in use is a 90-10 Cu-Ni Rotating Cylinder Electrode (RCE). The electrolyte solution was varied with different pH values, temperature and compositions. The corrosion rate was measured by use of the Tafel method. Experiments were performed with two solutions; De-Ionized water and Tap water. Further experimentation with anti-corrosives was also performed. All measurements were produced using a G300 Gamry® Potentiostat (computer controlled) conjugated with two general purpose electrochemical softwares: Gamry Framework® and Gamry Echem Analyst®. Trends of the corrosion rate as a function of pH and temperature were analyzed. Field Emission Scanning Electron Microscope (FE-SEM) tests have also been performed to determine the products, methods and elemental effects of the corrosion. Results and discussions are provided with pertinent conclusions.
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Reports on the topic "Anti-de Sitter solutions"

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Kehrer, Jordon P. 6D Anti-de Sitter Space Solutions to Einstein's Field Equation with a Scalar Field. Fort Belvoir, VA: Defense Technical Information Center, May 2007. http://dx.doi.org/10.21236/ada473330.

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