Magnetic Black Hole Pair-Production: One-Loop Tunneling Rate in the Weak Field Limit

Details Magnetic Black Hole Pair-Production: One-Loop Tunneling Rate in the Weak Field Limit Magnetic Black Hole Pair-Production: One-Loop Tunneling Rate in the Weak Field Limit

1994-10-26

arxiv.org/abs/gr-qc/9410035v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX, 12pp with one uuencoded figure, CU-TP-657 (A talk presented in the 13th Sorak International Symposium 'Field Theory and

Scientific paper

Pair-production of magnetic Reissner-Nordstr\"{o}m black holes (of charges $\pm q$) is studied in the next-to-leading WKB approximation. We consider generic quantum fluctuations in the corresponding instanton geometry, a detailed study of which suggests that, for sufficiently weak field $B$, the problem can be reduced to that of quantum fluctuations around a single truncated near-extremal Euclidean black hole in thermal equilibrium. Typical one-loop contributions are such that the leading WKB exponent is corrected by a small fraction $\sim \hbar /q^2$. We show that this effect is merely due to a semiclassical shift of the black hole mass-to-charge ratio that persists even in the extremal limit. We close with a few final comments.

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