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Cosmological production of charged black hole pairs

R. B. Mann·S. F. Ross
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Abstract

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-Nordström 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-Nordström 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-Nordström solution.

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R. B. Mann, S. F. Ross. 1995-05-12. Cosmological production of charged black hole pairs. https://doi.org/10.1103/physrevd.52.2254

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