Canonical quantization and the statistical entropy of the Schwarzschild black hole

Cenalo Vaz
Phys. Rev. D 61, 064017 – Published 25 February 2000
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Abstract

The canonical quantization of a Schwarzschild black hole yields a picture of the black hole that is shown to be equivalent to a collection of oscillators whose density of levels is commensurate with that of the statistical bootstrap model. Energy eigenstates of definite parity exhibit the Bekenstein mass spectrum MNMp, where NN. From the microcanonical ensemble, we derive the statistical entropy of the black hole by explicitly counting the microstates corresponding to a macrostate of fixed total energy.

  • Received 10 August 1999

DOI:https://doi.org/10.1103/PhysRevD.61.064017

©2000 American Physical Society

Authors & Affiliations

Cenalo Vaz*

  • Department of Physics and Astronomy, The Johns Hopkins University, Baltimore, Maryland 21218

  • *On leave of absence from the Universidade do Algarve, Faro, Portugal. Email address: cvaz@haar.pha.jhu.edu; cvaz@ualg.pt

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Issue

Vol. 61, Iss. 6 — 15 March 2000

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