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arxiv: gr-qc/0307087 · v2 · submitted 2003-07-18 · 🌀 gr-qc

The first law for slowly evolving horizons

Ivan Booth , Stephen Fairhurst This is my paper
classification 🌀 gr-qc
keywords horizonstrappingdynamicevolvingfirsthorizonisolatedmechanics
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We study the mechanics of Hayward's trapping horizons, taking isolated horizons as equilibrium states. Zeroth and second laws of dynamic horizon mechanics come from the isolated and trapping horizon formalisms respectively. We derive a dynamical first law by introducing a new perturbative formulation for dynamic horizons in which "slowly evolving" trapping horizons may be viewed as perturbatively non-isolated.

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  1. Thermodynamics of dynamical black holes beyond perturbation theory

    gr-qc 2026-03 accept novelty 7.0

    The authors derive non-perturbative first and second laws for dynamical black holes, identifying entropy with the area of local marginally trapped surfaces rather than the global event horizon.