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Pair of accelerated black holes in anti-de Sitter background: AdS C metric

Pair of accelerated black holes in anti-de Sitter background: AdS C metric
Pair of accelerated black holes in anti-de Sitter background: AdS C metric
The anti–de Sitter C metric (AdS C metric) is characterized by a quite interesting new feature when compared with the C metric in flat or de Sitter backgrounds. Indeed, contrary to what happens in these two last exact solutions, the AdS C metric only describes a pair of accelerated black holes if the acceleration parameter satisfies A>1/l, where l is the cosmological length. The two black holes cannot interact gravitationally and their acceleration is totally provided by the pressure exerted by a strut that pushes the black holes apart. Our analysis is based on the study of the causal structure, on the description of the solution in the AdS 4-hyperboloid in a 5D Minkowski spacetime, and on the physics of the strut. We also analyze the cases A=1/l and A<1/l that represent a single accelerated black hole in the AdS background.
Dias, Oscar J.C.
f01a8d9b-9597-4c32-9226-53a6e5500a54
Lemos, Jose P.S.
4e94199c-42b9-4592-9da9-f5035913088c
Dias, Oscar J.C.
f01a8d9b-9597-4c32-9226-53a6e5500a54
Lemos, Jose P.S.
4e94199c-42b9-4592-9da9-f5035913088c

Dias, Oscar J.C. and Lemos, Jose P.S. (2003) Pair of accelerated black holes in anti-de Sitter background: AdS C metric. Phys.Rev.D, 67 (6), [064001]. (doi:10.1103/PhysRevD.67.064001).

Record type: Article

Abstract

The anti–de Sitter C metric (AdS C metric) is characterized by a quite interesting new feature when compared with the C metric in flat or de Sitter backgrounds. Indeed, contrary to what happens in these two last exact solutions, the AdS C metric only describes a pair of accelerated black holes if the acceleration parameter satisfies A>1/l, where l is the cosmological length. The two black holes cannot interact gravitationally and their acceleration is totally provided by the pressure exerted by a strut that pushes the black holes apart. Our analysis is based on the study of the causal structure, on the description of the solution in the AdS 4-hyperboloid in a 5D Minkowski spacetime, and on the physics of the strut. We also analyze the cases A=1/l and A<1/l that represent a single accelerated black hole in the AdS background.

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More information

e-pub ahead of print date: 10 March 2003
Published date: 15 March 2003
Additional Information: ©2003 American Physical Society

Identifiers

Local EPrints ID: 468163
URI: http://eprints.soton.ac.uk/id/eprint/468163
PURE UUID: b0861018-a248-48da-bf74-4f7d50e6ab69
ORCID for Oscar J.C. Dias: ORCID iD orcid.org/0000-0003-4855-4750

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Date deposited: 04 Aug 2022 16:38
Last modified: 05 Aug 2022 01:46

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Contributors

Author: Oscar J.C. Dias ORCID iD
Author: Jose P.S. Lemos

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