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Phys. Rev. Lett. 92, 011102 (2004) [4 pages]

The First Law for Slowly Evolving Horizons

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Ivan Booth*
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

Received 5 August 2003; published 6 January 2004

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.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.92.011102
DOI:
10.1103/PhysRevLett.92.011102
PACS:
04.70.Bw, 04.25.Dm, 04.25.Nx

*Electronic address: ibooth@math.mun.ca

†Electronic address: sfairhur@gravity.phys.uwm.edu

 
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