Quasi-local dynamical horizons admit a first law for finite, far-from-equilibrium processes and a quantitative second law tying area growth to energy fluxes, so black-hole entropy is the area of marginally trapped surfaces.
The first law for slowly evolving horizons
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abstract
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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gr-qc 2years
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Interior MOTS in Hayward black holes are located via the b-parameter metric, with self-intersecting pairs identified and positions near the inner horizon given by hypergeometric functions from a singular Sturm-Liouville reduction whose eigenspace is complete but non-discrete and discontinuous.
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Thermodynamics of dynamical black holes beyond perturbation theory
Quasi-local dynamical horizons admit a first law for finite, far-from-equilibrium processes and a quantitative second law tying area growth to energy fluxes, so black-hole entropy is the area of marginally trapped surfaces.
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Interior marginally outer trapped surfaces in Hayward black holes
Interior MOTS in Hayward black holes are located via the b-parameter metric, with self-intersecting pairs identified and positions near the inner horizon given by hypergeometric functions from a singular Sturm-Liouville reduction whose eigenspace is complete but non-discrete and discontinuous.