Charged Topological Black Hole Pair Creation

Details Charged Topological Black Hole Pair Creation Charged Topological Black Hole Pair Creation

1997-05-28

arxiv.org/abs/hep-th/9705223v1

Nucl.Phys. B516 (1998) 357-381

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, LaTeX

Scientific paper

10.1016/S0550-3213(97)00833-X

I examine the pair creation of black holes in spacetimes with a cosmological constant of either sign. I consider cosmological C-metrics and show that the conical singularities in this metric vanish only for three distinct classes of black hole metric, two of which have compact event horizons on each spatial slice. One class is a generalization of the Reissner-Nordstrom (anti) de Sitter black holes in which the event horizons are the direct product of a null line with a 2-surface with topology of genus $g$. The other class consists of neutral black holes whose event horizons are the direct product of a null conoid with a circle. In the presence of a domain wall, black hole pairs of all possible types will be pair created for a wide range of mass and charge, including even negative mass black holes. I determine the relevant instantons and Euclidean actions for each case. Only for spherical are non-static solutions possible.

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