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Phys. Rev. D 48, 4545–4551 (1993)

Dynamical origin of the entropy of a black hole

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Valery Frolov*
Theoretical Physics Institute, University of Alberta, Edmonton, Canada T6G 2J1 and P.N. Lebedev Physical Institute, Leninsky prospect 53, Moscow, 117924, Russia

Igor Novikov
The Copenhagen University Observatory, Øster Voldgade 3, DK-1350 Copenhagen K, Denmark; Nordita, Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark; and Astro Space Centre of P.N. Lebedev Physical Institute, Profsoyuznaya 84/32, Moscow, 117810, Russia

Received 12 July 1993; published in the issue dated 15 November 1993

Modes of physical fields which are located inside a horizon and which cannot be observed by a distant observer are identified with the dynamical degrees of freedom of a black hole. A new invariant statistical mechanical definition of black-hole entropy is proposed. It is shown that the main contribution to the entropy is given by thermally excited "invisible" modes propagating in the close vicinity of the horizon. A calculation based on the proposed definition yields a value of the entropy which is in good agreement with the usually adopted value AH/(4lPl2), where AH is the black-hole surface area and lPl is the Planck length.

© 1993 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.48.4545
DOI:
10.1103/PhysRevD.48.4545
PACS:
97.60.Lf, 04.20.Cv, 05.30.-d

*Electronic address: frolov@phys.ualberta.ca

Electronic address: novikov@nordita.dk