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APS » Journals » Phys. Rev. Lett. » Volume 70 » Issue 24
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Phys. Rev. Lett. 70, 3684–3687 (1993)

Black hole entropy and higher curvature interactions

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Ted Jacobson
Institute for Theoretical Physics, University of California–Santa Barbara, Santa Barbara, California 93106
Department of Physics, University of Maryland, College Park, Maryland 20742-4111

Robert C. Myers
Department of Physics, McGill University, Montreal, Quebec, Canada H3A 2T8

Received 5 April 1993; published in the issue dated 14 June 1993

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.

© 1993 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.70.3684
DOI:
10.1103/PhysRevLett.70.3684
PACS:
04.50.+h, 05.70.Ce, 97.60.Lf
 
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