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

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

1994-06-21

arxiv.org/abs/gr-qc/9406037v1

Phys.Rev.Lett.74:3319-3322,1995

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1103/PhysRevLett.74.3319

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.

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