Spectroscopy of a Reissner-Nordström black hole via an action variable

Details Spectroscopy of a Reissner-Nordström black hole via an action variable Spectroscopy of a Reissner-Nordström black hole via an action variable

2012-04-08

arxiv.org/abs/1204.1699v2

Eur. Phys. J. C (2012) 72:1987

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, 0 figures

Scientific paper

10.1140/epjc/s10052-012-1987-0

With the help of the Bohr--Sommerfeld quantization rule, the area spectrum of a charged, spherically symmetric spacetime is obtained by studying an adiabatic invariant action variable. The period of the Einstein-Maxwell system, which is related to the surface gravity of a given spacetime, is determined by the Kruskal--like coordinates. It is shown that the area spectrum of the Reissner-Nordstr\"{o}m black hole is evenly spaced and the spacing is the same as that of a Schwarzschild black hole, which indicates that the area spectrum of a black hole is independent of its parameters. In contrast to the quasi-normal mode analysis, we do not impose the small charge limit as the general area gap $8\pi $ is obtained.

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