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Related papers: Local free-fall temperature of a RN-AdS black hole

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Investigating five-dimensional Schwarzschild-Tangherlini-AdS black hole, we construct a (6+2)-dimensional flat embedding structure. Exploiting this flat manifold, we evaluate a free fall temperature of the black hole in manifold ranging…

General Physics · Physics 2015-10-20 Soon-Tae Hong

We globally embed (3+1)-dimensional Schwarzschild and Schwarzschild-AdS black holes in massive gravity into (5+2)-dimensional flat spacetimes. Making use of embedding coordinates, we directly obtain the generalized Hawking, Unruh and freely…

General Relativity and Quantum Cosmology · Physics 2019-12-02 Soon-Tae Hong , Yong-Wan Kim , Young-Jai Park

We use the global embedding of a black hole spacetime into a higher dimensional flat spacetime to define a local temperature for observers in free fall outside a static black hole. The local free-fall temperature remains finite at the event…

High Energy Physics - Theory · Physics 2009-11-18 Erling J. Brynjolfsson , Larus Thorlacius

We obtain a (5+1)-dimensional global flat embedding of the Gibbons-Maeda-Garfinkle-Horowitz-Strominger spacetime in Einstein frame, and a (5+2)-dimensional global flat embedding in string frame. We show that the local free-fall temperatures…

General Relativity and Quantum Cosmology · Physics 2014-02-12 Yong-Wan Kim , Jaedong Choi , Young-Jai Park

Making use of the higher dimensional global embedding Minkowski spacetime (GEMS), we embed (3+1)-dimensional Schwarzschild and Reissner-Nordstr\"om (RN) black holes written by the Painlev\'e-Gullstrand (PG) spacetimes, which have…

General Relativity and Quantum Cosmology · Physics 2021-12-30 Soon-Tae Hong , Yong-Wan Kim , Young-Jai Park

We obtain a (5+2)-dimensional global flat embedding of the (3+1)-dimensional curved RN-AdS space. Our results include the various limiting cases of global embedding Minkowski space (GEMS) geometries of the RN, Schwarzschild-AdS in…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yong-Wan Kim , Young-Jai Park , Kwang-Sup Soh

We show that, in a gravitational theory [in any number of dimensions greater than 3] which admits BPS branes and AdS-Reissner-Nordstrom black holes with flat event horizons, the specific [dimensionless] temperature of such a black hole is…

High Energy Physics - Theory · Physics 2015-05-20 Brett McInnes

We obtain a (5+1)-dimensional global flat embedding of modified Schwarzschild black hole in rainbow gravity. We show that local free-fall temperature in rainbow gravity, which depends on different energy $\omega$ of a test particle, is…

General Relativity and Quantum Cosmology · Physics 2016-06-06 Yong-Wan Kim , Young-Jai Park

The Unruh temperature calculated from the global embedding of the Schwarzschild AdS spacetime into Minkowski spacetime was identified with the local temperature measured by a free-fall observer; however, it would be imaginary in a certain…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Myungseok Eune , Wontae Kim

In this paper, we show the relation between the thermodynamic geometry of a four-dimensional Reissner-Nordstrom-AdS (RN-AdS) black hole and non-local observables in boundary field theory. Instead of introducing the critical point…

General Relativity and Quantum Cosmology · Physics 2022-10-18 Chao Wang , Bin Wu , Zhen Ming Xu , Wen Li Yang

We obtain a (3+3)-dimensional global flat embedding of the generalized (2+1) charged Ba\~nados-Teitelboim-Zanelli black holes in massive gravity. We also study the local free-fall temperatures for freely falling observers starting from rest…

General Relativity and Quantum Cosmology · Physics 2019-02-07 Soon-Tae Hong , Yong-Wan Kim , Young-Jai Park

We study a multiply warped product manifold associated with the Reissner-Nordstrom-AdS metric to investigate the physical properties inside the black hole event horizons. Our results include various limiting geometries of the RN,…

Mathematical Physics · Physics 2007-05-23 Soon-Tae Hong , Jaedong Choi , Young-Jai Park

We explore the thermodynamics of a novel solution for the Reissner-Nordstr\"{o}m-Anti-de Sitter (AdS) black hole, uniquely incorporating the Gauss-Bonnet term. Unlike previous studies that primarily focused on standard General Relativity or…

General Relativity and Quantum Cosmology · Physics 2025-10-24 M. Z. Bhatti , Kazuharu Bamba , I. Siddique , Bander Almutairi , Z. Yousaf

We study Einstein-Maxwell-dilaton gravity models in four-dimensional anti-de Sitter (AdS) spacetime which admit the Reissner-Nordstrom (RN) black hole solution. We show that below a critical temperature the AdS-RN solution becomes unstable…

High Energy Physics - Theory · Physics 2010-08-20 Mariano Cadoni , Giuseppe D'Appollonio , Paolo Pani

We obtain a new solution of the Einstein-anti-Maxwell theory with cosmological constant, called anti-Reissner-Nordstrom-(A)de Sitter (anti-RN-(A)dS) solution. The basic properties of this solution is reviewed. Its thermodynamics is…

General Relativity and Quantum Cosmology · Physics 2012-10-04 Deborah F. Jardim , Manuel E. Rodrigues , M. J. S. Houndjo

Thermodynamic properties of Schwarzschild-Anti de-Sitter (Sch-AdS) and Reissner-Nordstr\"om-Anti de-Sitter (RN-AdS) blackholes in 3+1 dimensional spacetime are studied critically with special reference to the warped braneworld black holes…

High Energy Physics - Theory · Physics 2009-10-28 Ratna Koley , Joydip Mitra , Supratik Pal , Soumitra SenGupta

In flat space, the extreme Reissner-Nordstr\o m (RN) black hole is distinguished by its coldness (vanishing Hawking temperature) and its supersymmetry. We examine RN solutions to Einstein-Maxwell theory with a cosmological constant…

High Energy Physics - Theory · Physics 2009-10-22 L. J. Romans

We investigate the thermodynamics of phase transition for $ (n+1) $ dimensional Reissner Nordstrom (RN)-AdS black holes using a grand canonical ensemble. This phase transition is characterized by a discontinuity in specific heat. The phase…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Rabin Banerjee , Dibakar Roychowdhury

It is known that static and spherically symmetric black hole solutions of general relativity in different spacetimes can be embedded into higher dimensional flat spacetime. Given this result, we have explored the thermodynamic nature of…

General Relativity and Quantum Cosmology · Physics 2019-10-29 T. R. Govindarajan , Sumanta Chakraborty

We extend the restricted phase space formalism for spherically symmetric black hole solutions of Einstein-Maxwell theory to the quasi-local regime, with the static observers located at a finite radial distance. The first law and Euler…

General Relativity and Quantum Cosmology · Physics 2026-05-11 Bai-Hao Huang , Liu Zhao
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