Black Hole Entropy from Loop Quantum Gravity
Abstract
We study the idea that the statistical entropy governing thermal interactions of a black hole with its exterior is determined by the microstates of the hole having distinct effects on the exterior, and over which a hole in a given macroscopic configuration thermally fluctuates. We argue that for a (macroscopically) Schwarzschild black hole this ensemble is formed by horizons with the same area. We compute the number of states in this ensemble from first principles using nonperturbative loop quantum gravity. We obtain a statistical entropy proportional to the area, as in the BekensteinHawking formula.
 Publication:

Physical Review Letters
 Pub Date:
 October 1996
 DOI:
 10.1103/PhysRevLett.77.3288
 arXiv:
 arXiv:grqc/9603063
 Bibcode:
 1996PhRvL..77.3288R
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 5 pages, latexrevtex, no figures