TY - JOUR

T1 - Wald's entropy is equal to a quarter of the horizon area in units of the effective gravitational coupling

AU - Brustein, Ram

AU - Gorbonos, Dan

AU - Hadad, Merav

N1 - Copyright:
Copyright 2009 Elsevier B.V., All rights reserved.

PY - 2009/2/20

Y1 - 2009/2/20

N2 - The Bekenstein-Hawking entropy of black holes in Einstein's theory of gravity is equal to a quarter of the horizon area in units of Newton's constant. Wald has proposed that in general theories of gravity the entropy of stationary black holes with bifurcate Killing horizons is a Noether charge which is in general different from the Bekenstein-Hawking entropy. We show that the Noether charge entropy is equal to a quarter of the horizon area in units of the effective gravitational coupling on the horizon defined by the coefficient of the kinetic term of a specific metric perturbation polarization on the horizon. We present several explicit examples of static spherically symmetric black holes.

AB - The Bekenstein-Hawking entropy of black holes in Einstein's theory of gravity is equal to a quarter of the horizon area in units of Newton's constant. Wald has proposed that in general theories of gravity the entropy of stationary black holes with bifurcate Killing horizons is a Noether charge which is in general different from the Bekenstein-Hawking entropy. We show that the Noether charge entropy is equal to a quarter of the horizon area in units of the effective gravitational coupling on the horizon defined by the coefficient of the kinetic term of a specific metric perturbation polarization on the horizon. We present several explicit examples of static spherically symmetric black holes.

UR - http://www.scopus.com/inward/record.url?scp=62549147838&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.79.044025

DO - 10.1103/PhysRevD.79.044025

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AN - SCOPUS:62549147838

SN - 1550-7998

VL - 79

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

IS - 4

M1 - 044025

ER -