Cosmological production of charged black hole pairs
arXiv:gr-qc/9504015 · doi:10.1103/PhysRevD.52.2254
Abstract
We investigate the pair creation of charged black holes in a background with a positive cosmological constant. We consider 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 metric with zero cosmological constant is actually the Reissner-Nordström solution.
29 pages, latex, 3 figures in a seperate uuencoded compressed file. Discussion of the significance of the instantons enlarged, and minor emendations
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