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

By R. Brustein, Dan Gorbonos, Merav Hadad. 2007

133 citations recorded by the source corpus.

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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/5bd41fa1dbec5f8c2541cca5e319fdd864b2cfa3

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In Astronomy and Astrophysics

1. E. Spallucci
2. Piero Nicolini
3. A. Smailagic
4. Stefano Ansoldi

In Nuclear and High Energy Physics

1. Piero Nicolini
2. E. Spallucci
3. A. Smailagic
4. Stefano Ansoldi

Citations in the corpus

• Non-commutative geometry inspired higher-dimensional charged black holes (2008, result): “A similar conclusion has been recently attained, in a different framework, in [ 25 ].”