Relaxation dynamics of charged gravitational collapse

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-Nordström black holes. The formula is expressed in terms of the black-hole physical parameters: $ω=qΦ-i2πT_{BH}(n+{1 \over 2})$, where $T_{BH}$ and $Φ$ are the temperature and electric potential of the black hole, and $q$ is the charge of the field.

5 pages