Black hole entropy and higher curvature interactions
- 14 June 1993
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 70 (24), 3684-3687
- https://doi.org/10.1103/physrevlett.70.3684
Abstract
A general formula for the entropy of stationary black holes in Lovelock higher-curvature 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.Keywords
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This publication has 29 references indexed in Scilit:
- Extrema of mass, stationarity, and staticity, and solutions to the Einstein-Yang-Mills equationsPhysical Review D, 1992
- Complex Kerr-Newman geometry and black-hole thermodynamicsPhysical Review Letters, 1991
- Quadratic gravity as hair tonic for black holesClassical and Quantum Gravity, 1991
- Energy and stability in Einstein-Gauss-Bonnet modelsClassical and Quantum Gravity, 1989
- Spherically symmetric solutions of general second-order gravityPhysical Review D, 1988
- Action Principle and Partition Function for the Gravitational Field in Black-Hole TopologiesPhysical Review Letters, 1988
- Dimensionally continued topological gravitation theory in Hamiltonian formClassical and Quantum Gravity, 1987
- Spherically symmetric solutions of Einstein-Maxwell theory with a Gauss-Bonnet termPhysics Letters B, 1986
- Acceleration radiation and the generalized second law of thermodynamicsPhysical Review D, 1982
- Black holes in general relativityCommunications in Mathematical Physics, 1972