Dynamic black-hole entropy

Abstract

We consider two non-statistical definitions of entropy for dynamic (non-stationary) black holes in spherical symmetry. The first is analogous to the original Clausius definition of thermodynamic entropy: there is a first law containing an energy-supply term which equals surface gravity times a total differential. The second is Wald's Noether-charge method, adapted to dynamic black holes by using the Kodama flow. Both definitions give the same answer for Einstein gravity: one-quarter the area of the trapping horizon.

3 pages, revtex

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• Quantum Geometry and Black Hole Entropy
• Unified first law of black-hole dynamics and relativistic thermodynamics
• Comments on entanglement entropy
• On the Noether charge form of the first law of black hole mechanics

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