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Phys. Rev. D 71, 124033 (2005) [6 pages]

Continuous area spectrum of a regular black hole

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Hidefumi Nomura1,* and Takashi Tamaki2,†
1Department of Physics, Waseda University, 3-4-1 Okubo, Shinjuku, Tokyo 169-8555, Japan
2Department of Physics, Kyoto University, 606-8501, Japan

Received 9 April 2005; published 27 June 2005

We investigate highly damped quasinormal modes of regular black hole coupled to nonlinear electrodynamics. Using the WKB approximation combined with complex-integration technique, we show that the real part of the frequency disappears in the highly damped limit. If we use the Bohr’s correspondence principle, the area spectrum of this black hole is continuous. We discuss its implications for loop quantum gravity.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.71.124033
DOI:
10.1103/PhysRevD.71.124033
PACS:
04.70.Bw, 04.30.Db, 04.70.Dy

*Electronic address: nomura@gravity.phys.waseda.ac.jp

Electronic address: tamaki@tap.scphys.kyoto-u.ac.jp