2004/05/14 by E. Czuchry, J. Jezierski, J. Kijowski
Physics and Astronomy · #gr-qc
published as in Relativity Today (Proc. 7th Hungarian Relativity Workshop, 2003) Ed. I. Racz, (Akadémiai Kiadó, Budapest, 2004) · 10 pages, to appear in Proceedings of the Seventh Hungarian Relativity Workshop
arxiv created 2004/05/14 · arxiv updated 2009/12/01
Hamiltonian description of gravitational field contained in a spacetime region with boundary S being a null-like hypersurface (a wave front) is discussed. Complete generating formula for the Hamiltonian dynamics (with no surface integrals neglected) is presented. A quasi-local proof of the 1-st law of black holes thermodynamics is obtained as a consequence, in case when S is a non-expanding horizon. The 0-th law and Penrose inequalities are discussed from this point of view.