Entropy, Area, and Black Hole Pairs

Abstract

We clarify the relation between gravitational entropy and the area of horizons. We first show that the entropy of an extreme Reissner-Nordström 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.

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

References in corpus (5)

• Pair Creation of Dilaton Black Holes
• Black Hole Entropy and the Dimensional Continuation of the Gauss-Bonnet Theorem
• On Pair Creation of Extremal Black Holes and Kaluza-Klein Monopoles
• Topology, Entropy and Witten Index of Dilaton Black Holes
• Entropy in Black Hole Pair Production

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