Entropy of Lovelock Black Holes

Abstract

A general formula for the entropy of stationary black holes in Lovelock gravity theories is obtained by integrating the first law of black hole mechanics, which is derived by Hamiltonian methods. The entropy is not simply one quarter of the surface area of the horizon, but also includes a sum of intrinsic curvature invariants integrated over a cross section of the horizon.

15 pages, plain Latex, NSF-ITP-93-41

References in corpus (5)

• Quasilocal Energy and Conserved Charges Derived from the Gravitational Action
• The Microcanonical Functional Integral. I. The Gravitational Field
• Proof of the Generalized Second Law for Quasistationary Semiclassical Black Holes
• Dirty black holes: Entropy versus area
• Black Holes with a Generalized Gravitational Action

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