Quasinormal Modes, the Area Spectrum, and Black Hole Entropy

Details Quasinormal Modes, the Area Spectrum, and Black Hole Entropy Quasinormal Modes, the Area Spectrum, and Black Hole Entropy

2002-11-24

arxiv.org/abs/gr-qc/0211076v1

Phys.Rev.Lett. 90 (2003) 081301

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.90.081301

The results of canonical quantum gravity concerning geometric operators and black hole entropy are beset by an ambiguity labelled 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 $A/4 l_P^2$ 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).

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