Global embedding of D-dimensional black holes with a cosmological constant in Minkowskian spacetimes: Matching between Hawking temperature and Unruh temperature
Global embedding of D-dimensional black holes with a cosmological constant in Minkowskian spacetimes: Matching between Hawking temperature and Unruh temperature
We study the matching between the Hawking temperature of a large class of static D-dimensional black holes and the Unruh temperature of the corresponding higher dimensional Rindler spacetime. In order to accomplish this task we find the global embedding of the D-dimensional black holes into a higher dimensional Minkowskian spacetime, called the global embedding Minkowskian spacetime procedure (GEMS procedure). These global embedding transformations are important on their own, since they provide a powerful tool that simplifies the study of black hole physics by working instead, but equivalently, in an accelerated Rindler frame in a flat background geometry. We discuss neutral and charged Tangherlini black holes with and without cosmological constant, and in the negative cosmological constant case, we consider the three allowed topologies for the horizons (spherical, cylindrical/toroidal, and hyperbolic).
Santos, Nuno Loureiro
096090ad-26da-4e3b-9084-2ca39a375c68
Dias, Oscar J.C.
f01a8d9b-9597-4c32-9226-53a6e5500a54
Lemos, Jose P.S.
4e94199c-42b9-4592-9da9-f5035913088c
15 December 2004
Santos, Nuno Loureiro
096090ad-26da-4e3b-9084-2ca39a375c68
Dias, Oscar J.C.
f01a8d9b-9597-4c32-9226-53a6e5500a54
Lemos, Jose P.S.
4e94199c-42b9-4592-9da9-f5035913088c
Santos, Nuno Loureiro, Dias, Oscar J.C. and Lemos, Jose P.S.
(2004)
Global embedding of D-dimensional black holes with a cosmological constant in Minkowskian spacetimes: Matching between Hawking temperature and Unruh temperature.
Phys.Rev.D, 70 (12), [124033].
(doi:10.1103/PhysRevD.70.124033).
Abstract
We study the matching between the Hawking temperature of a large class of static D-dimensional black holes and the Unruh temperature of the corresponding higher dimensional Rindler spacetime. In order to accomplish this task we find the global embedding of the D-dimensional black holes into a higher dimensional Minkowskian spacetime, called the global embedding Minkowskian spacetime procedure (GEMS procedure). These global embedding transformations are important on their own, since they provide a powerful tool that simplifies the study of black hole physics by working instead, but equivalently, in an accelerated Rindler frame in a flat background geometry. We discuss neutral and charged Tangherlini black holes with and without cosmological constant, and in the negative cosmological constant case, we consider the three allowed topologies for the horizons (spherical, cylindrical/toroidal, and hyperbolic).
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Published date: 15 December 2004
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©2004 American Physical Society
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Local EPrints ID: 467705
URI: http://eprints.soton.ac.uk/id/eprint/467705
PURE UUID: ca854769-810a-441b-881d-a33ca6facf6a
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Date deposited: 19 Jul 2022 16:57
Last modified: 17 Mar 2024 03:35
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Author:
Nuno Loureiro Santos
Author:
Jose P.S. Lemos
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