Quasinormal Spectrum and Quantization of Charged Black Holes

Details Quasinormal Spectrum and Quantization of Charged Black Holes Quasinormal Spectrum and Quantization of Charged Black Holes

2005-11-09

arxiv.org/abs/gr-qc/0511047v1

Class.Quant.Grav. 23 (2006) L23-L28

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages

Scientific paper

10.1088/0264-9381/23/4/L01

Black-hole quasinormal modes have been the subject of much recent attention, with the hope that these oscillation frequencies may shed some light on the elusive theory of quantum gravity. We study {\it analytically} the asymptotic quasinormal spectrum of a {\it charged} scalar field in the (charged) Reissner-Nordstr\"om spacetime. We find an analytic expression for these black-hole resonances in terms of the black-hole physical parameters: its Bekenstein-Hawking temperature $T_{BH}$, and its electric potential $\Phi$. We discuss the applicability of the results in the context of black-hole quantization. In particular, we show that according to Bohr's correspondence principle, the asymptotic resonance corresponds to a fundamental area unit $\Delta A=4\hbar\ln2$.

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