The first law for slowly evolving horizons
Ivan Booth, Stephen Fairhurst
TL;DR
This paper develops a perturbative framework for slowly evolving trapping horizons, extending horizon mechanics laws and deriving a dynamical first law that treats these horizons as near-equilibrium states.
Contribution
It introduces a new perturbative formulation for slowly evolving horizons, bridging isolated and dynamical horizon formalisms.
Findings
Derived a dynamical first law for slowly evolving horizons.
Connected zeroth and second laws to isolated and trapping horizon formalisms.
Provided a perturbative approach to horizon mechanics.
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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