Abstract
Hamiltonian dynamics of a gravitational field contained in a spacetime region with boundary 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 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