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1

Brauer, O., H. A. Camargo, and M. Socolovsky. "Newman-Janis Algorithm Revisited." International Journal of Theoretical Physics 54, no. 1 (2014): 302–14. http://dx.doi.org/10.1007/s10773-014-2225-3.

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Harold Erbin and Lucien Heurtier. "Five-dimensional Janis–Newman algorithm." Classical and Quantum Gravity 32, no. 16 (2015): 165004. http://dx.doi.org/10.1088/0264-9381/32/16/165004.

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Rajan, Del, and Matt Visser. "Cartesian Kerr–Schild variation on the Newman–Janis trick." International Journal of Modern Physics D 26, no. 14 (2017): 1750167. http://dx.doi.org/10.1142/s021827181750167x.

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The Newman–Janis trick is a procedure, (not even really an ansatz), for obtaining the Kerr spacetime from the Schwarzschild spacetime. This 50 years old trick continues to generate heated discussion and debate even to this day. Most of the debate focusses on whether the Newman–Janis procedure can be upgraded to the status of an algorithm, or even an inspired ansatz, or is it just a random trick of no deep physical significance. (That the Newman–Janis procedure very quickly led to the discovery of the Kerr–Newman spacetime is a point very much in its favor.) In the current paper, we will not an
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Keane, Aidan J. "An extension of the Newman–Janis algorithm." Classical and Quantum Gravity 31, no. 15 (2014): 155003. http://dx.doi.org/10.1088/0264-9381/31/15/155003.

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Erbin, Harold. "Janis-Newman algorithm for supergravity black holes." Fortschritte der Physik 64, no. 4-5 (2016): 376–77. http://dx.doi.org/10.1002/prop.201500065.

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Gutiérrez-Chávez, Carlos, Francisco Frutos-Alfaro, Iván Cordero-García, and Javier Bonatti-González. "A Computer Program for the Newman-Janis Algorithm." Journal of Modern Physics 06, no. 15 (2015): 2226–30. http://dx.doi.org/10.4236/jmp.2015.615227.

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Erbin, Harold, and Lucien Heurtier. "Supergravity, complex parameters and the Janis–Newman algorithm." Classical and Quantum Gravity 32, no. 16 (2015): 165005. http://dx.doi.org/10.1088/0264-9381/32/16/165005.

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Drake, S. P., and Peter Szekeres. "Uniqueness of the Newman–Janis Algorithm in Generating the Kerr–Newman Metric." General Relativity and Gravitation 32, no. 3 (2000): 445–57. http://dx.doi.org/10.1023/a:1001920232180.

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Babar, Rimsha, Muhammad Asgher, and Riasat Ali. "Gravitational analysis of Einstein-non-linear-Maxwell-Yukawa black hole under the effect of Newman-Janis algorithm." Physica Scripta 97, no. 12 (2022): 125201. http://dx.doi.org/10.1088/1402-4896/ac9863.

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Abstract In this paper, we analyze the rotating Einstein-non-linear-Maxwell-Yukawa black hole solution by Janis-Newman algorithmic rule and complex calculations. We investigate the basic properties (i.e., Hawking radiation) for the corresponding black hole solution. From the horizon structure of the black hole, we discuss the graphical behavior of Hawking temperature T H and analyze the effects of spin parameter (appears due to Newman-Janis approach) on the T H of black hole. Furthermore, we investigate the corrected temperature for rotating Einstein-non-linear-Maxwell-Yukawa black hole by usi
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Erbin, Harold. "Janis–Newman Algorithm: Generating Rotating and NUT Charged Black Holes." Universe 3, no. 1 (2017): 19. http://dx.doi.org/10.3390/universe3010019.

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Lombardo, Diego Julio Cirilo. "The Newman–Janis algorithm, rotating solutions and Einstein–Born–Infeld black holes." Classical and Quantum Gravity 21, no. 6 (2004): 1407–17. http://dx.doi.org/10.1088/0264-9381/21/6/009.

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Larrañaga, Alexis, Claudia Grisales, and Manuel Londoño. "A Topologically Charged Rotating Black Hole in the Brane." Advances in High Energy Physics 2013 (2013): 1–6. http://dx.doi.org/10.1155/2013/727294.

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We have obtained a rotating black hole solution in the braneworld scenario by applying the Newman-Janis algorithm. The new solution carries two types of charge, one arising from the bulk Weyl tensor and one from the gauge field trapped on the brane. In order to obtain this result, we used a modified version of the algorithm in which the involved complexification is the key point. The analysis of the horizon structure of the new metric shows similarities to the Kerr-Newman solution. In particular, there is a minimal mass to which the black hole can decay through the Hawking radiation. From the
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13

VIAGGIU, STEFANO. "INTERIOR KERR SOLUTIONS WITH THE NEWMAN–JANIS ALGORITHM STARTING WITH STATIC PHYSICALLY REASONABLE SPACE–TIMES." International Journal of Modern Physics D 15, no. 09 (2006): 1441–53. http://dx.doi.org/10.1142/s0218271806009169.

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We present a simple approach for obtaining Kerr interior solutions with the help of the Newman–Janis algorithm (NJA) starting with static space–times describing physically sensible interior Schwarzschild solutions. In this context, the Darmois–Israel (DI) junction conditions are analyzed. Starting from the incompressible Schwarzschild solution, a class of Kerr interior solutions is presented, together with a discussion of the slowly rotating limit. The energy conditions are discussed for the solutions so obtained. Finally, the NJA algorithm is applied to the static, anisotropic, conformally fl
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14

Dymnikova, Irina, and Evgeny Galaktionov. "Dynamics of Electromagnetic Fields and Structure of Regular Rotating Electrically Charged Black Holes and Solitons in Nonlinear Electrodynamics Minimally Coupled to Gravity." Universe 5, no. 10 (2019): 205. http://dx.doi.org/10.3390/universe5100205.

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We study the dynamics of electromagnetic fields of regular rotating electrically charged black holes and solitons replacing naked singularities in nonlinear electrodynamics minimally coupled to gravity (NED-GR). They are related by electromagnetic and gravitational interactions and described by the axially symmetric NED-GR solutions asymptotically Kerr-Newman for a distant observer. Geometry is described by the metrics of the Kerr-Schild class specified by T t t = T r r ( p r = − ρ ) in the co-rotating frame. All regular axially symmetric solutions obtained from spherical solutions with the Ne
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15

Drake, S. P., and R. Turolla. "The application of the Newman - Janis algorithm in obtaining interior solutions of the Kerr metric." Classical and Quantum Gravity 14, no. 7 (1997): 1883–97. http://dx.doi.org/10.1088/0264-9381/14/7/021.

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Dymnikova, Irina. "Image of the Electron Suggested by Nonlinear Electrodynamics Coupled to Gravity." Particles 4, no. 2 (2021): 129–45. http://dx.doi.org/10.3390/particles4020013.

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We present a systematic review of the basic features that were adopted for different electron models and show, in a brief overview, that, for electromagnetic spinning solitons in nonlinear electrodynamics minimally coupled to gravity (NED-GR), all of these features follow directly from NED-GR dynamical equations as model-independent generic features. Regular spherically symmetric solutions of NED-GR equations that describe electrically charged objects have obligatory de Sitter center due to the algebraic structure of stress–energy tensors for electromagnetic fields. By the Gürses-Gürsey formal
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Dymnikova, Irina, and Kirill Kraav. "Identification of a Regular Black Hole by Its Shadow." Universe 5, no. 7 (2019): 163. http://dx.doi.org/10.3390/universe5070163.

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We study shadows of regular rotating black holes described by the axially symmetric solutions asymptotically Kerr for a distant observer, obtained from regular spherical solutions of the Kerr–Schild class specified by T t t = T r r ( p r = − ε ) . All regular solutions obtained with the Newman–Janis algorithm belong to this class. Their basic generic feature is the de Sitter vacuum interior. Information about the interior content of a regular rotating de Sitter-Kerr black hole can be in principle extracted from observation of its shadow. We present the general formulae for description of shado
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18

Jusufi, Kimet, Mustapha Azreg-Aïnou, Mubasher Jamil, and Qiang Wu. "Equatorial and Polar Quasinormal Modes and Quasiperiodic Oscillations of Quantum Deformed Kerr Black Hole." Universe 8, no. 4 (2022): 210. http://dx.doi.org/10.3390/universe8040210.

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In this paper, we focus on the relation between quasinormal modes (QNMs) and a rotating black hole shadow. As a specific example, we consider the quantum deformed Kerr black hole obtained via Newman–Janis–Azreg-Aïnou algorithm. In particular, using the geometric-optics correspondence between the parameters of a QNMs and the conserved quantities along geodesics, we show that, in the eikonal limit, the real part of QNMs is related to the Keplerian frequency for equatorial orbits. To this end, we explore the typical shadow radius for the viewing angles, θ0=π/2, and obtained an interesting relatio
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19

Dymnikova, Irina, Anna Dobosz, and Bożena Sołtysek. "Classification of Circular Equatorial Orbits around Regular Rotating Black Holes and Solitons with the de Sitter/ Phantom Interiors." Universe 8, no. 2 (2022): 65. http://dx.doi.org/10.3390/universe8020065.

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We study the basic properties of the circular equatorial orbits for the regular axially symmetric solutions, obtained with using the Gürses–Gürsey formalism which includes the Newman–Janis algorithm, from regular spherically symmetric metrics of the Kerr–Schild class specified by Ttt=Trr. Solutions of this class describe regular rotating black holes and spinning solitons replacing naked singularities. All these objects have the interior de Sitter equatorial disk, and can have two kinds of interiors determined by the energy conditions. One of them contains an additional interior de Sitter vacuu
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20

Hendi, S. H., Kh Jafarzade, and B. Eslam Panah. "Black holes in dRGT massive gravity with the signature of EHT observations of M87*." Journal of Cosmology and Astroparticle Physics 2023, no. 02 (2023): 022. http://dx.doi.org/10.1088/1475-7516/2023/02/022.

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Abstract The recent Event Horizon Telescope (EHT) observations of the M87* have led to a surge of interest in studying the shadow of black holes. Besides, investigation of time evolution and lifetime of black holes helps us to veto/restrict some theoretical models in gravitating systems. Motivated by such exciting properties, we study optical features of black holes, such as the shadow geometrical shape and the energy emission rate in modified gravity. We consider a charged AdS black hole in dRGT massive gravity and look for criteria to restrict the free parameters of the theory. The main goal
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21

Kumar, Jitendra, Shafqat Ul Islam, and Sushant G. Ghosh. "Loop Quantum Gravity motivated multihorizon rotating black holes." Journal of Cosmology and Astroparticle Physics 2022, no. 11 (2022): 032. http://dx.doi.org/10.1088/1475-7516/2022/11/032.

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Abstract With a semiclassical polymerization in the loop quantum gravity (LQG), the interior of the Schwarzschild black holes provides a captivating single-horizon regular black hole spacetime. The shortage of rotating black hole models in loop quantum gravity (LQG) substantially restrains the progress of testing LQG from observations. Motivated by this, starting with a spherical LQG black hole as a seed metric, we construct a rotating spacetime using the revised Newman-Janis algorithm, namely, the LQG-motivated rotating black holes (LMRBH), which encompasses Kerr (l = 0) black holes as an exc
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22

Ma, Tian-Chi, He-Xu Zhang, Peng-Zhang He, Hao-Ran Zhang, Yuan Chen, and Jian-Bo Deng. "Shadow cast by a rotating and nonlinear magnetic-charged black hole in perfect fluid dark matter." Modern Physics Letters A 36, no. 17 (2021): 2150112. http://dx.doi.org/10.1142/s0217732321501121.

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In this paper, we derived an exact solution of the spherically symmetric Hayward black hole surrounded by perfect fluid dark matter (PFDM). By applying the Newman–Janis algorithm, we generalized it to the corresponding rotating black hole. Then, we studied the shadows of rotating Hayward black hole in PFDM. The apparent shape of the shadow depends upon the black hole spin [Formula: see text], the magnetic charge [Formula: see text] and the PFDM intensity parameter [Formula: see text]. The shadow is a perfect circle in the non-rotating case [Formula: see text] and a deformed one in the rotating
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23

Shaikh, Rajibul, Kunal Pal, Kuntal Pal, and Tapobrata Sarkar. "Constraining alternatives to the Kerr black hole." Monthly Notices of the Royal Astronomical Society 506, no. 1 (2021): 1229–36. http://dx.doi.org/10.1093/mnras/stab1779.

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ABSTRACT The recent observation of the shadow of the supermassive compact object M87* by the Event Horizon Telescope (EHT) collaboration has opened up a new window to probe the strong gravity regime. In this paper, we study shadows cast by two viable alternatives to the Kerr black hole, and compare them with the shadow of M87*. The first alternative is a horizonless compact object (HCO) having radius r0 and exterior Kerr geometry. The second one is a rotating generalization of the recently obtained one parameter (r0) static metric by Simpson and Visser. This latter metric, constructed using th
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24

Dymnikova, Irina. "Dark Matter Candidates with Dark Energy Interiors Determined by Energy Conditions." Symmetry 12, no. 4 (2020): 662. http://dx.doi.org/10.3390/sym12040662.

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We outline the basic properties of regular black holes, their remnants and self-gravitating solitons G-lumps with the de Sitter and phantom interiors, which can be considered as heavy dark matter (DM) candidates generically related to a dark energy (DE). They are specified by the condition T t t = T r r and described by regular solutions of the Kerr-Shild class. Solutions for spinning objects can be obtained from spherical solutions by the Newman-Janis algorithm. Basic feature of all spinning objects is the existence of the equatorial de Sitter vacuum disk in their deep interiors. Energy condi
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25

Ferraro, Rafael. "Untangling the Newman–Janis algorithm." General Relativity and Gravitation 46, no. 4 (2014). http://dx.doi.org/10.1007/s10714-014-1705-3.

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26

Erbin, Harold. "Deciphering and generalizing Demiański–Janis–Newman algorithm." General Relativity and Gravitation 48, no. 5 (2016). http://dx.doi.org/10.1007/s10714-016-2054-1.

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Erbin, Harold. "Janis–Newman algorithm: simplifications and gauge field transformation." General Relativity and Gravitation 47, no. 3 (2015). http://dx.doi.org/10.1007/s10714-015-1860-1.

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Chou, Yu-Ching,. "Extension Rules of Newman–Janis Algorithm for Rotation Metrics in General Relativity." Physical Science International Journal, July 15, 2020, 1–14. http://dx.doi.org/10.9734/psij/2020/v24i630194.

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Aims: The aim of this study is to extend the formula of Newman–Janis algorithm (NJA) and introduce the rules of the complexifying seed metric. The extension of NJA can help determine more generalized axisymmetric solutions in general relativity.Methodology: We perform the extended NJA in two parts: the tensor structure and the seed metric function. Regarding the tensor structure, there are two prescriptions, the Newman–Penrose null tetrad and the Giampieri prescription. Both are mathematically equivalent; however, the latter is more concise. Regarding the seed metric function, we propose the e
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Solanki, Divyesh N., Parth Bambhaniya, Dipanjan Dey, Pankaj S. Joshi, and Kamlesh N. Pathak. "Shadows and precession of orbits in rotating Janis–Newman–Winicour spacetime." European Physical Journal C 82, no. 1 (2022). http://dx.doi.org/10.1140/epjc/s10052-022-10045-1.

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AbstractIn this paper, we construct the rotating Janis–Newman–Winicour (JNW) naked singularity spacetime using Newman–Janis Algorithm (NJA). We analyse NJA with and without complexification methods and find that the energy conditions do satisfied when we skip the complexification step. We study the shadows cast by rotating JNW naked singularity and compare them with the shadows cast by the Kerr black hole. We find that the shadow of the rotating naked singularity can be distinguished from the shadow of the Kerr black hole. While we analyse the precession of timelike bound orbits in rotating JN
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Junior, Haroldo C. D. Lima, Luís C. B. Crispino, Pedro V. P. Cunha, and Carlos A. R. Herdeiro. "Spinning black holes with a separable Hamilton–Jacobi equation from a modified Newman–Janis algorithm." European Physical Journal C 80, no. 11 (2020). http://dx.doi.org/10.1140/epjc/s10052-020-08572-w.

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AbstractObtaining solutions of the Einstein field equations describing spinning compact bodies is typically challenging. The Newman–Janis algorithm provides a procedure to obtain rotating spacetimes from a static, spherically symmetric, seed metric. It is not guaranteed, however, that the resulting rotating spacetime solves the same field equations as the seed. Moreover, the former may not be circular, and thus expressible in Boyer–Lindquist-like coordinates. Amongst the variations of the original procedure, a modified Newman–Janis algorithm (MNJA) has been proposed that, by construction, orig
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31

Contreras, Ernesto, J. M. Ramirez–Velasquez, Ángel Rincón, Grigoris Panotopoulos, and Pedro Bargueño. "Black hole shadow of a rotating polytropic black hole by the Newman–Janis algorithm without complexification." European Physical Journal C 79, no. 9 (2019). http://dx.doi.org/10.1140/epjc/s10052-019-7309-z.

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Abstract In this work, starting from a spherically symmetric polytropic black hole, a rotating solution is obtained by following the Newman–Janis algorithm without complexification. Besides studying the horizon, the static conditions and causality issues of the rotating solution, we obtain and discuss the shape of its shadow. Some other physical features as the Hawking temperature and emission rate of the rotating polytropic black hole solution are also discussed.
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Broccoli, Matteo, and Adriano Viganò. "Electromagnetic self-force in curved spacetime: New insights from the Janis-Newman algorithm." Physical Review D 98, no. 8 (2018). http://dx.doi.org/10.1103/physrevd.98.084007.

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Shaikh, Rajibul. "Black hole shadow in a general rotating spacetime obtained through Newman-Janis algorithm." Physical Review D 100, no. 2 (2019). http://dx.doi.org/10.1103/physrevd.100.024028.

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Makukov, Maxim, and Eduard Mychelkin. "Rotation in vacuum and scalar background: are there alternatives to Newman-Janis algorithm?" International Journal of Modern Physics D, January 27, 2023. http://dx.doi.org/10.1142/s0218271823500232.

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Chen, Che-Yu. "On the possible spacetime structures of rotating loop quantum black holes." International Journal of Geometric Methods in Modern Physics, July 8, 2022. http://dx.doi.org/10.1142/s0219887822501766.

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To date, a mathematically consistent construction of effective rotating black hole models in the context of Loop Quantum Gravity (LQG) is still lacking. In this work, we start with the assumption that rotating LQG black hole metrics can be effectively obtained using Newman–Janis Algorithm. Then, based on a few extra fair assumptions on the seed metric functions, we make a conjecture on what a rotating LQG black hole would generically look like. Our general arguments and conclusions can be supported by some known specific examples in the literature.
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Rahim, Rehana, and Khalid Saifullah. "The charged CPR black hole." International Journal of Modern Physics D 31, no. 01 (2021). http://dx.doi.org/10.1142/s0218271821501236.

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The non-Kerr black hole is an important metric to study the possible deviations from the Kerr black hole of general relativity. It has been constructed by applying the Newman–Janis algorithm on a deformed Schwarzschild black hole. This approach has been generalized to include two different deformation functions to obtain CPR black holes [V. Cardoso, P. Pani and J. Rico, Phys. Rev. D 89 (2014) 064007]. In this paper, we develop the charged analogue of this spacetime. The new metric is studied for the particle dynamics also.
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Chen, Che-Yu, and Pisin Chen. "Separability of the Klein-Gordon equation for rotating spacetimes obtained from Newman-Janis algorithm." Physical Review D 100, no. 10 (2019). http://dx.doi.org/10.1103/physrevd.100.104054.

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Hansen, Devin, and Nicolás Yunes. "Applicability of the Newman-Janis algorithm to black hole solutions of modified gravity theories." Physical Review D 88, no. 10 (2013). http://dx.doi.org/10.1103/physrevd.88.104020.

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Ali, Riasat, Rimsha Babar, Muhammad Asgher, and G. Mustafa. "Tunneling Analysis of Null Aether Black Hole Theory in the Background of Newman-Janis Algorithm." International Journal of Modern Physics A, July 27, 2022. http://dx.doi.org/10.1142/s0217751x22501342.

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Ali, Riasat, Rimsha Babar, Muhammad Asgher, and Xia Tie-Cheng. "Tunneling Analysis of Regular Black Holes with Cosmic Strings-Like Solution in Newman-Janis Algorithm." International Journal of Modern Physics A, June 3, 2022. http://dx.doi.org/10.1142/s0217751x22501081.

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41

Patel, Vishva, Divya Tahelyani, Ashok B. Joshi, Dipanjan Dey, and Pankaj S. Joshi. "Light trajectory and shadow shape in the rotating naked singularity." European Physical Journal C 82, no. 9 (2022). http://dx.doi.org/10.1140/epjc/s10052-022-10638-w.

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AbstractIn this paper, we investigate the light trajectories and shadow properties in the rotating version of null naked singularity (NNS) spacetime which is derived using the Newman–Janis algorithm without complexification method. We discuss some of the geometrical properties and causal structure of Rotating Naked Singularity (RNS) spacetime. The gravitational lensing in a rotating naked singularity is analyzed, and the results are compared to those of a Kerr black hole. In the case of a Kerr black hole, the photon sphere exists for both prograde and retrograde photon orbits, whereas for RNS,
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42

Huang, Yang, and Zhoujian Cao. "Finite-distance gravitational deflection of massive particles by a rotating black hole in loop quantum gravity." European Physical Journal C 83, no. 1 (2023). http://dx.doi.org/10.1140/epjc/s10052-023-11180-z.

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AbstractA rotating black hole in loop quantum gravity was constructed by Brahma, Chen, and Yeom based on a nonrotating counterpart using the revised Newman–Janis algorithm recently. For such spacetime, we investigate the weak gravitational deflection of massive particles to explore observational effects of the quantum correction. The purpose of this article is twofold. First, for Gibbons–Werner (GW) method, a geometric approach computing the deflection angle of particles in curved spacetimes, we refine its calculation and obtain a simplified formula. Second, by using GW method and our new form
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Zubair, M., Muhammad Ali Raza, and Ghulam Abbas. "Optical features of rotating black hole with nonlinear electrodynamics." European Physical Journal C 82, no. 10 (2022). http://dx.doi.org/10.1140/epjc/s10052-022-10925-6.

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AbstractIn this article, we considered the strong field approximation of nonlinear electrodynamics black hole and constructed its rotating counterpart by applying the modified Newman–Janis algorithm. The corresponding metric function in the strong field limit of the static black hole is identified in order to study the radius of photon sphere. However, the metric function for the rotating counterpart in the strong field limit is considered in order to study the horizon radius w.r.t spin parameter. We considered the Hamilton–Jacobi method to derive the geodesic equations for photon and construc
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Zahid, Muhammad, Saeed Ullah Khan, Jingli Ren, and Javlon Rayimbaev. "Geodesics and shadow formed by a rotating Gauss–Bonnet black hole in AdS spacetime." International Journal of Modern Physics D, May 6, 2022. http://dx.doi.org/10.1142/s0218271822500584.

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The latest findings of static and spherically symmetric black hole solution give a potential platform to investigate the novel four-dimensional Einstein Gauss–Bonnet gravity. In order to obtain a rotating black hole solution, we first adopt the Newman Janis algorithm and study the structure of its horizons. To analyze the said black hole shadow, we move forward to compute expressions of the celestial coordinates using the geodesic equations. Furthermore, we provide a detailed analysis of the shadow size and its distortion parameter, adopting the Hioki and Maeda method, together with the applic
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45

Tang, Meirong, and Zhaoyi Xu. "The no-hair theorem and black hole shadows." Journal of High Energy Physics 2022, no. 12 (2022). http://dx.doi.org/10.1007/jhep12(2022)125.

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Abstract The successful observation of M87 supermassive black hole by the Black Hole Event Horizon Telescope(EHT) provides a very good opportunity to study the theory of gravity. In this work, we obtain the exact solution for the short hair black hole (BH) in the rotation situation, and calculate in detail how hairs affect the BH shadow. For the exact solution part, using the Newman-Janis algorithm, we generalize the spherically symmetric short-hair black hole metric to the rotation case (space-time lie element (2.25)). For the BH shadow part, we study two hairy BH models. In model 1, the prop
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