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

Oct, 2002
21 pages
Published in:
  • Phys.Rev.D 67 (2003) 064001
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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, 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.
  • 04.70.Bw
  • 04.20.Jb
  • 04.20.Gz
  • black hole: pair
  • black hole: acceleration
  • space-time: anti-de Sitter
  • space-time: Minkowski
  • causality
  • dimension: 4
  • dimension: 5