# Relaxation dynamics of charged gravitational collapse - General Relativity and Quantum Cosmology

Abstract: We study analytically the relaxation dynamics of charged test fields leftoutside a newly born charged black hole. In particular, we obtain a simpleanalytic expression for the fundamental quasinormal resonances of near-extremalReissner-Nordstr\-om black holes. The formula is expressed in terms of theblack-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 theblack hole, and $q$ is the charge of the field.

Author: Shahar Hod

Source: https://arxiv.org/