Cosmological production of charged black hole pairs

R. B. Mann and Simon F. Ross
Phys. Rev. D 52, 2254 – Published 15 August 1995
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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

Authors & Affiliations

R. B. Mann and Simon F. Ross

  • Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW, England

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Vol. 52, Iss. 4 — 15 August 1995

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