Entropy, Area, and Black Hole Pairs

Details Entropy, Area, and Black Hole Pairs Entropy, Area, and Black Hole Pairs

1994-09-08

arxiv.org/abs/gr-qc/9409013v2

Phys.Rev.D51:4302-4314,1995

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

25 pages; DAMTP/R 94-26, UCSBTH-94-25 (minor errors and references corrected)

Scientific paper

10.1103/PhysRevD.51.4302

We clarify the relation between gravitational entropy and the area of horizons. We first show that the entropy of an extreme Reissner-Nordstr\"om black hole is $zero$, despite the fact that its horizon has nonzero area. Next, we consider the pair creation of extremal and nonextremal black holes. It is shown that the action which governs the rate of this pair creation is directly related to the area of the acceleration horizon and (in the nonextremal case) the area of the black hole event horizon. This provides a simple explanation of the result that the rate of pair creation of non-extreme black holes is enhanced by precisely the black hole entropy. Finally, we discuss black hole $annihilation$, and argue that Planck scale remnants are not sufficient to preserve unitarity in quantum gravity.

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