Xiao-Xiong Zeng, Wen-Biao Liu
With the help of Bohr-Sommerfeld quantization rule, 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 coordinate. 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 the one of Schwarzschild black hole, which indicates that the area spectrum of a black hole is independent on its parameters. Different from the quasinormal mode analysis, we do not impose the small charge limit as the general area gap $8\pi $ is obtained.
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http://arxiv.org/abs/1204.1699
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