English

Isolated Horizons: A Generalization of Black Hole Mechanics

General Relativity and Quantum Cosmology 2010-04-06 v1

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.

Keywords

Cite

@article{arxiv.gr-qc/9812065,
  title  = {Isolated Horizons: A Generalization of Black Hole Mechanics},
  author = {Abhay Ashtekar and Christopher Beetle and Stephen Fairhurst},
  journal= {arXiv preprint arXiv:gr-qc/9812065},
  year   = {2010}
}

Comments

9 pages, LaTeX2e, 3 eps figures