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Isolated Horizons: A Generalization of Black Hole Mechanics

Abhay Ashtekar·Christopher Beetle·Stephen Fairhurst
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Abstract

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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Abhay Ashtekar, Christopher Beetle, Stephen Fairhurst. 1998-12-18. Isolated Horizons: A Generalization of Black Hole Mechanics. https://doi.org/10.1088/0264-9381%2F16%2F2%2F027

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