English

Why the Entropy of a Black Hole is $A/4$?

General Relativity and Quantum Cosmology 2011-05-05 v1

Abstract

A black hole considered as a part of a thermodynamical system possesses the Bekenstein-Hawking entropy SH=AH/(4l\mboxP2)S_H =A_H /(4l_{\mbox{\scriptsize{P}}}^2), where AHA_H is the area of a black hole surface and l\mboxPl_{\,\mbox{\scriptsize{P}}} is the Planck length. Recent attempts to connect this entropy with dynamical degrees of freedom of a black hole generically did not provide the universal mechanism which allows one to obtain this exact value. We discuss the relation between the 'dynamical' contribution to the entropy and SHS_H, and show that the universality of SHS_H is restored if one takes into account that the parameters of the internal dynamical degrees of freedom as well as their number depends on the black hole temperature.

Keywords

Cite

@article{arxiv.gr-qc/9406037,
  title  = {Why the Entropy of a Black Hole is $A/4$?},
  author = {Valeri P. Frolov},
  journal= {arXiv preprint arXiv:gr-qc/9406037},
  year   = {2011}
}

Comments

11 pages, Alberta Univ. Preprint Alberta-Thy-22-94