Dynamics of a gravitational field within a wave front and thermodynamics of black holes

Ewa Czuchry, Jacek Jezierski, and Jerzy Kijowski
Phys. Rev. D 70, 124010 – Published 8 December 2004

Abstract

Hamiltonian dynamics of a gravitational field contained in a spacetime region with boundary S being a null-like hypersurface (a wave front) is discussed. A complete Hamiltonian formula for the dynamics (with no surface integrals neglected) is derived. A quasilocal proof of the first law of black holes thermodynamics is obtained as a consequence, in the case when S is a nonexpanding horizon. The zeroth law and Penrose inequalities are discussed from this point of view.

  • Received 28 June 2004

DOI:https://doi.org/10.1103/PhysRevD.70.124010

©2004 American Physical Society

Authors & Affiliations

Ewa Czuchry1, Jacek Jezierski2, and Jerzy Kijowski3

  • 1Yukawa Institute for Theoretical Physics, Kyoto University, Kitashirakawa-Oiwake-Cho, Sakyo-ku, Kyoto 606-8502, Japan
  • 2Department of Mathematical Methods in Physics, University of Warsaw, ulica Hoża 69, 00-682 Warszawa, Poland
  • 3Center for Theoretical Physics, Polish Academy of Sciences, Aleja Lotników 32/46, 02-668 Warszawa, Poland

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Issue

Vol. 70, Iss. 12 — 15 December 2004

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