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

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arxiv hep-th/0210065 v3 pith:YDVD35BT submitted 2002-10-07 hep-th gr-qc

Oscar J. C. Dias , Jose' P. S. Lemos This is my paper · ORCID
classification hep-thgr-qc
keywords blackc-metricholesacceleratedsitteraccelerationanti-debackground
verification ladder T0 review T1 audit T2 compute T3 formal
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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, contrarily 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 embedding 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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Cited by 3 Pith papers

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  3. Metallic transports from accelerating black holes

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    For accelerating AdS black holes, a holographic D-brane calculation gives resistivity scaling T^{2/3} and T^{-1/3}, interpreted as a z=3 quantum liquid phase.

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