Rindler Energy is Wald Entropy

Abstract

We show that, in any theory of gravity, the entropy of any nonextreme black hole is given by $2\pi E_R$ where $E_R$ is the dimensionless Rindler energy. Separately, we show that $E_R$ is exactly Wald's Noether charge and therefore this entropy is identical to Wald entropy. However, it is off--shell and derived solely from the time evolution of the black hole. We examine Gauss--Bonnet black holes as an example and speculate on the degrees of freedom that $E_R$ counts.

arXiv comment22 pages

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Cited by in corpus (9)

• Black Holes as Conformal Field Theories on Horizons
• Horizon Conformal Field Theories from $Ad{S}_2$ Black Holes
• Liouville Theory on Horizons: Towards a Quantum Theory of Black Holes
• On the Holographic Nature Of Rindler Energy
• Extremal Black Hole Entropy from Horizon Conformal Field Theories
• The Holographic Entanglement Entropy of Schwarzschild Black Holes
• Complexity Near Horizons
• Schwarzschild Black Holes and Asymptotic $Ad{S}_2$
• Black Hole Entropy and the Pseudo Goldstone Bosons of Conformal Symmetry