publication . Preprint . 1997

Mechanism of Generation of Black Hole Entropy in Sakharov's Induced Gravity

Frolov, V. P.; Fursaev, D. V.;
Open Access English
  • Published: 25 Mar 1997
Abstract
The mechanism of generation of the Bekenstein-Hawking entropy $S^{BH}$ of a black hole in the Sakharov's induced gravity is proposed. It is suggested that the "physical" degrees of freedom, which explain the entropy $S^{BH}$, form only a finite subset of the standard Rindler-like modes defined outside the black hole horizon. The entropy $S_R$ of the Rindler modes, or entanglement entropy, is always ultraviolet divergent, while the entropy of the "physical" modes is finite and it coincides in the induced gravity with $S^{BH}$. The two entropies $S^{BH}$ and $S_R$ differ by a surface integral Q interpreted as a Noether charge of non-minimally coupled scalar consti...
Subjects
arXiv: General Relativity and Quantum Cosmology
free text keywords: High Energy Physics - Theory
Funded by
NSERC
Project
  • Funder: Natural Sciences and Engineering Research Council of Canada (NSERC)
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[23] M. Hotta, T. Kato and K. Nagata, A Comment on Geometric Entropy and Conical Space, gr-qc/9611058, V. Moretti, Geometric Entropy and Curvature Coupling in Conical Spaces: ζ Function Approach, hep-th/9701099.

[24] S.N. Solodukhin, Non-Minimal Coupling and Quantum Entropy of a Black Hole, hep-th/9612061.

[25] C.W. Misner, K.S. Thorne, and J.A. Wheeler, Gravitation, W.H. Freeman and Company, New York.

[26] F. Belgiorno and S. Liberati, Black Hole Thermodynamics, Casimir Effect and Induced Gravity, gr-qc/9612024.

[27] W. Nelson, Phys. Rev. D50 (1994) 7400.

[28] D.V. Fursaev and S.N. Solodukhin, Phys. Rev. D52 (1995) 2143.

[29] V. Iyer and R.M. Wald, Phys. Rev. D52 (1995) 4430.

[30] S. Takagi, Progress of Theoretical Physics Supplement 88 (1986).

[31] S.W.Hawking, Phys. Rev. D13 (1976) 191.

[32] J.W. York, Phys. Rev. D33 (1986) 2092.

[33] J.M. Bardeen, B. Carter and S.W. Hawking, Commun. Math. Phys. 31 (1973) 161.

[34] H. Bateman and A. Erdelyi, Tables of Integral Transformations, v.1, New York, McGraw-Hill Book Company, Inc., 1954.

[35] B.S. DeWitt, Dynamical Theory of Groups and Fields, Gordon and Breach, New York 1965.

[36] L.P. Eisenhart, Riemannian Geometry, Princeton University Press, 1966, Princeton.

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