The first law for slowly evolving horizons

Details The first law for slowly evolving horizons The first law for slowly evolving horizons

2003-07-18

arxiv.org/abs/gr-qc/0307087v2

Phys.Rev.Lett. 92 (2004) 011102

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, typos fixed, minor changes in wording for clarity, to appear in PRL

Scientific paper

10.1103/PhysRevLett.92.011102

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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