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

preprint1994arXivOpen access

Abstract

A black hole considered as a part of a thermodynamical system possesses the Bekenstein-Hawking entropy $S_H =A_H /(4l_{\mbox{\scriptsize{P}}}^2)$, where AHA_H is the area of a black hole surface and $l_{\,\mbox{\scriptsize{P}}}$ 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.

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