Phys. Rev. D 70, 124010 (2004) [14 pages]Dynamics of a gravitational field within a wave front and thermodynamics of black holesReceived 28 June 2004; published 8 December 2004 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. © 2004 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.70.124010
DOI:
10.1103/PhysRevD.70.124010
PACS:
04.20.Fy, 02.40.Hw, 04.40.–b
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