Superradiance of a charged scalar field coupled to the Einstein-Maxwell equations
General Relativity and Quantum Cosmology
2016-12-20 v2
Abstract
We consider the Einstein-Maxwell-Klein-Gordon equations for a spherically symmetric scalar field scattering off a Reissner-Nordstr\"om black hole in asymptotically flat spacetime. The equations are solved numerically using a hyperboloidal evolution scheme. For suitable frequencies of the initial data, superradiance is observed, leading to a substantial decrease of mass and charge of the black hole. We also derive a Bondi mass loss formula using the Kodama vector field and investigate the late-time decay of the scalar field.
Keywords
Cite
@article{arxiv.1610.08352,
title = {Superradiance of a charged scalar field coupled to the Einstein-Maxwell equations},
author = {Olaf Baake and Oliver Rinne},
journal= {arXiv preprint arXiv:1610.08352},
year = {2016}
}
Comments
12 pages, 9 figures; 3 references added