Cosmological production of charged black hole pairs

Details Cosmological production of charged black hole pairs Cosmological production of charged black hole pairs

1995-04-10

arxiv.org/abs/gr-qc/9504015v2

Phys.Rev.D52:2254-2265,1995

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

29 pages, latex, 3 figures in a seperate uuencoded compressed file. Discussion of the significance of the instantons enlarged,

Scientific paper

10.1103/PhysRevD.52.2254

We investigate the pair creation of charged black holes in a background with a positive cosmological constant. We consider $C$ metrics with a cosmological constant, and show that the conical singularities in the metric only disappear when it reduces to the Reissner-Nordstr\"om de Sitter metric. We construct an instanton describing the pair production of extreme black holes and an instanton describing the pair production of non-extreme black holes from the Reissner-Nordstr\"om de Sitter metric, and calculate their actions. There are a number of striking similarities between these instantons and the Ernst instantons, which describe pair production in a background electromagnetic field. We also observe that the type I instanton in the ordinary $C$ metric with zero cosmological constant is actually the Reissner-Nordstr\"om solution.

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