107 research outputs found
Pair of accelerated black holes in an anti-de Sitter background: the 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, 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.Comment: 20 pages, 15 figures (RevTeX4). Published version: typo in fig. 5
corrected, references adde
A new form of the rotating C-metric
In a previous paper, we showed that the traditional form of the charged
C-metric can be transformed, by a change of coordinates, into one with an
explicitly factorizable structure function. This new form of the C-metric has
the advantage that its properties become much simpler to analyze. In this
paper, we propose an analogous new form for the rotating charged C-metric, with
structure function G(\xi)=(1-\xi^2)(1+r_{+}A\xi)(1+r_{-}A\xi), where r_\pm are
the usual locations of the horizons in the Kerr-Newman black hole. Unlike the
non-rotating case, this new form is not related to the traditional one by a
coordinate transformation. We show that the physical distinction between these
two forms of the rotating C-metric lies in the nature of the conical
singularities causing the black holes to accelerate apart: the new form is free
of torsion singularities and therefore does not contain any closed timelike
curves. We claim that this new form should be considered the natural
generalization of the C-metric with rotation.Comment: 13 pages, LaTe
Radiation from accelerated black holes in an anti-de Sitter universe
We study gravitational and electromagnetic radiation generated by uniformly
accelerated charged black holes in anti-de Sitter spacetime. This is described
by the C-metric exact solution of the Einstein-Maxwell equations with a
negative cosmological constant Lambda. We explicitly find and interpret the
pattern of radiation that characterizes the dependence of the fields on a null
direction from which the (timelike) conformal infinity is approached. This
directional pattern exhibits specific properties which are more complicated if
compared with recent analogous results obtained for asymptotic behavior of
fields near a de Sitter-like infinity. In particular, for large acceleration
the anti-de Sitter-like infinity is divided by Killing horizons into several
distinct domains with a different structure of principal null directions, in
which the patterns of radiation differ.Comment: 19 pages, 11 colour figures, submitted to Phys. Rev. D [Low quality
figures are included in this version because of arXive size restrictions. The
version with the standard quality figures is available at
http://utf.mff.cuni.cz/~podolsky/jppubl.htm.
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