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Relaxation dynamics of charged gravitational collapse

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arxiv 1006.4439 v1 pith:JHRKBMVJ submitted 2010-06-23 gr-qc astro-ph.HEhep-th

classification gr-qcastro-ph.HEhep-th
keywords blackchargeddynamicsholerelaxationanalyticanalyticallyblack-hole
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abstract

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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Cited by 1 Pith paper

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  1. A Nonlinear Endpoint of Charged Horizon Instabilities

    gr-qc 2026-02 conditional novelty 7.0 of 10

    Charged scalar collapse can form dynamical extremal black holes whose horizons show divergent energy density and constant charge hair, with universal near-threshold scaling.

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