Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2004-05-14
in Relativity Today (Proc. 7th Hungarian Relativity Workshop, 2003) Ed. I. Racz, (Akad\'emiai Kiad\'o, Budapest, 2004)
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
10 pages, to appear in Proceedings of the Seventh Hungarian Relativity Workshop
Scientific paper
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.
Czuchry Ewa
Jezierski Jacek
Kijowski Jerzy
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