M Francaviglia and M Raiteri 2002 Class. Quantum Grav. 19 237 doi:10.1088/0264-9381/19/2/305
M Francaviglia and M Raiteri
Show affiliationsA general recipe to define, via the Noether theorem, the Hamiltonian in any natural field theory is suggested. It is based on a Regge–Teitelboim-like approach applied to the variation of the Noether-conserved quantities. The Hamiltonian for general relativity in the presence of non-orthogonal boundaries is analysed and the energy is defined as the on-shell value of the Hamiltonian. The role played by boundary conditions in the formalism is outlined and the quasilocal internal energy is defined by imposing the metric Dirichlet boundary conditions. A (conditioned) agreement with previous definitions is proved. A correspondence with the Brown–York original formulation of the first principle of black hole thermodynamics is finally established.
04.20.Cv Fundamental problems and general formalism
04.70.Dy Quantum aspects of black holes, evaporation, thermodynamics
Issue 2 (21 January 2002)
Received 30 July 2001, in final form 24 October 2001
Published 2 January 2002
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