Phys. Rev. Lett. 92, 011102 (2004) - The First Law for Slowly Evolving Horizons

The First Law for Slowly Evolving Horizons

Ivan Booth and Stephen Fairhurst

Phys. Rev. Lett. 92, 011102 – Published 6 January 2004

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 nonisolated.

Received 5 August 2003

DOI:https://doi.org/10.1103/PhysRevLett.92.011102

©2004 American Physical Society

Authors & Affiliations

Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John’s, Newfoundland and Labrador, Canada A1C 5S7

Stephen Fairhurst^†

Theoretical Physics Institute, Department of Physics, University of Alberta, Edmonton, Alberta, Canada T6G 2J1

^*Electronic address: ibooth@math.mun.ca
^†Electronic address: sfairhur@gravity.phys.uwm.edu

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Vol. 92, Iss. 1 — 9 January 2004

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