The first law for slowly evolving horizons
General Relativity and Quantum Cosmology
2009-11-10 v2
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.
Cite
@article{arxiv.gr-qc/0307087,
title = {The first law for slowly evolving horizons},
author = {Ivan Booth and Stephen Fairhurst},
journal= {arXiv preprint arXiv:gr-qc/0307087},
year = {2009}
}
Comments
4 pages, typos fixed, minor changes in wording for clarity, to appear in PRL