A Hamiltonian Approach to the Mass of Isolated Black Holes

Details A Hamiltonian Approach to the Mass of Isolated Black Holes A Hamiltonian Approach to the Mass of Isolated Black Holes

1999-08-01

arxiv.org/abs/gr-qc/9908006v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, LaTeX 2.09, 1 eps figure. To appear in the proceedings of the Eighth Canadian Conference on General Relativity and Re

Scientific paper

10.1063/1.1301582

Boundary conditions defining a non-rotating isolated horizon are given in Einstein-Maxwell theory. A spacetime representing a black hole which itself is in equilibrium but whose exterior contains radiation admits such a horizon. Inspired by Hamiltonian mechanics, a (quasi-)local definition of isolated horizon mass is formulated. Although its definition does not refer to infinity, this mass takes the standard value in a Reissner-Nordstrom solution. Furthermore, under certain technical assumptions, the mass of an isolated horizon is shown to equal the future limit of the Bondi energy.

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