Abstract
We investigate the pair creation of charged black holes in a backgrond 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 nonextreme 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.
- Received 12 May 1995
DOI:https://doi.org/10.1103/PhysRevD.52.2254
©1995 American Physical Society