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

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 $A_H$ 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 $S_H$, and show that the universality of $S_H$ 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.

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

References in corpus (5)

• Black Hole Entropy in Canonical Quantum Gravity and Superstring Theory
• Dynamical Origin of the Entropy of a Black Hole
• Entropy in Black Hole Pair Production
• Wavefunction of a Black Hole and the Dynamical Origin of Entropy
• Black Holes as Quantum Membranes

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