Boundary states and black hole entropy
Abstract
A formal derivation of black hole entropy is given as a sum over boundary states. The boundary states are labeled by energy and momentum surface densities, and parametrized by the boundary metric. The sum over state labels is expressed as a functional integral with measure determined by the density of states. The sum over metrics is expressed as a functional integral with measure determined by the universal expression for the inverse temperature gradient at the horizon. The analysis applies to any stationary, nonextreme black hole in any theory of gravitational and matter fields.
 Publication:

Physical Review D
 Pub Date:
 February 1998
 DOI:
 10.1103/PhysRevD.57.2624
 arXiv:
 arXiv:grqc/9704071
 Bibcode:
 1998PhRvD..57.2624B
 Keywords:

 04.70.Dy;
 04.20.Fy;
 04.60.Gw;
 Quantum aspects of black holes evaporation thermodynamics;
 Canonical formalism Lagrangians and variational principles;
 Covariant and sumoverhistories quantization;
 General Relativity and Quantum Cosmology
 EPrint:
 4 pages, Revtex