Pair production of black holes in a $U(1) \otimes U(1)$ theory

Details Pair production of black holes in a $U(1) \otimes U(1)$ theory Pair production of black holes in a $U(1) \otimes U(1)$ theory

1994-01-26

arxiv.org/abs/hep-th/9401131v2

Phys.Rev. D49 (1994) 6599-6605

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, REVTeX, DAMTP/R-94/3. Revised to take account of referee's suggestions. Several typos corrected

Scientific paper

10.1103/PhysRevD.49.6599

Charged dilaton black hole solutions have recently been found for an action with two $U(1)$ gauge fields and a dilaton field. I investigate new exact solutions of this theory analogous to the C-metric and Ernst solutions of classical general relativity. The parameters in the latter solution may be restricted so that it has a smooth Euclidean section with topology $S^2 \times S^2 - \{pt\}$, which gives an instanton describing pair production of the charged dilaton black holes. These instantons generalise those found recently by Dowker {\it et al}.

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