Local approach to thermodynamics of black holes
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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.
10 pages, to appear in Proceedings of the Seventh Hungarian Relativity Workshop
10 pages, to appear in Proceedings of the Seventh Hungarian Relativity Workshop