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Phys. Rev. Lett. 90, 081301 (2003) [4 pages]

Quasinormal Modes, the Area Spectrum, and Black Hole Entropy

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Olaf Dreyer*
Perimeter Institute for Theoretical Physics, 35 King Street North, Waterloo, Ontario N2J 2W9, Canada

Received 26 November 2002; published 25 February 2003

The results of loop quantum gravity concerning geometric operators and black hole entropy are beset by an ambiguity labeled by the Immirzi parameter. We use a result from classical gravity concerning the quasinormal mode spectrum of a black hole to fix this parameter in a new way. As a result we arrive at the Bekenstein-Hawking expression of A/4lP2 for the entropy of a black hole and in addition see an indication that the appropriate gauge group of quantum gravity is SO(3) and not its covering group SU(2).

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.90.081301
DOI:
10.1103/PhysRevLett.90.081301
PACS:
04.70.Dy, 04.60.Pp

*Electronic address: odreyer@perimeterinstitute.ca