Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2010-06-23
Phys.Lett.A374:2901,2010
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
5 pages
Scientific paper
10.1016/j.physleta.2010.05.052
We study analytically the relaxation dynamics of charged test fields left outside a newly born charged black hole. In particular, we obtain a simple analytic expression for the fundamental quasinormal resonances of near-extremal Reissner-Nordstr\"om black holes. The formula is expressed in terms of the black-hole physical parameters: $\omega=q\Phi-i2\pi T_{BH}(n+{1 \over 2})$, where $T_{BH}$ and $\Phi$ are the temperature and electric potential of the black hole, and $q$ is the charge of the field.
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