Partition Function of the Schwarzschild Black Hole
General Relativity and Quantum Cosmology
2015-05-28 v1
Abstract
We consider a microscopic model of a stretched horizon of the Schwarzschild black hole. In our model the stretched horizon consists of a finite number of discrete constituents. Assuming that the quantum states of the Schwarzschild black hole are encoded in the quantum states of the constituents of its stretched horizon in a certain manner we obtain an explicit, analytic expression for the partition function of the hole. Our partition function predicts, among other things, the Hawking effect, and provides it with a microscopic, statistical interpretation.
Cite
@article{arxiv.1107.3975,
title = {Partition Function of the Schwarzschild Black Hole},
author = {Jarmo Mäkelä},
journal= {arXiv preprint arXiv:1107.3975},
year = {2015}
}
Comments
33 pages, 1 figure. Published in the special issue "Black Hole Thermodynamics" of the Journal Entropy