Dynamical origin of the entropy of a black hole

Valery Frolov and Igor Novikov
Phys. Rev. D 48, 4545 – Published 15 November 1993
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Abstract

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.

  • Received 12 July 1993

DOI:https://doi.org/10.1103/PhysRevD.48.4545

©1993 American Physical Society

Authors & Affiliations

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

  • *Electronic address: frolov@phys.ualberta.ca
  • Electronic address: novikov@nordita.dk

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Vol. 48, Iss. 10 — 15 November 1993

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