Microcanonical distribution for black hole with allowance for nonadditivity
General Relativity and Quantum Cosmology
2010-02-12 v2 High Energy Physics - Theory
Abstract
It is shown that with allowance for nonadditivity the (canonical) distribution for a black hole transforms to a (microcanonical) distribution which depends on nonadditive integrals of the motion and represents a nonlinear function of energy - the square of black hole mass. From a comparison with the standard microcanonical distribution it is found that the statistical weight of black hole should be proportional to the black hole area. A definition of the black hole entropy consistent with the statistical weight is proposed.
Keywords
Cite
@article{arxiv.1002.1926,
title = {Microcanonical distribution for black hole with allowance for nonadditivity},
author = {K. Ropotenko},
journal= {arXiv preprint arXiv:1002.1926},
year = {2010}
}
Comments
7 pages, no figures; references corrected; abstract improved