Isolated Horizons: A Generalization of Black Hole Mechanics

Details Isolated Horizons: A Generalization of Black Hole Mechanics Isolated Horizons: A Generalization of Black Hole Mechanics

1998-12-18

arxiv.org/abs/gr-qc/9812065v1

Class.Quant.Grav.16:L1-L7,1999

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, LaTeX2e, 3 eps figures

Scientific paper

10.1088/0264-9381/16/2/027

A set of boundary conditions defining a non-rotating isolated horizon are given in Einstein-Maxwell theory. A space-time representing a black hole which itself is in equilibrium but whose exterior contains radiation admits such a horizon . Physically motivated, (quasi-)local definitions of the mass and surface gravity of an isolated horizon are introduced. Although these definitions do not refer to infinity, the quantities assume their standard values in Reissner-Nordstrom solutions. Finally, using these definitions, the zeroth and first laws of black hole mechanics are established for isolated horizons.

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