Nonlinear perturbations of Reissner-Nordstr\"om black holes

Phys. Rev. D 100, 044017 (2019) We develop a nonlinear perturbation theory of Reissner-Nordstr\"om black holes. We show that, at each perturbation level, Einstein-Maxwell equations can be reduced to four inhomogeneous wave equations, two for polar and two for axial sector. Gravitational part of...

Full description

Saved in:
Bibliographic Details
Main Author Rutkowski, Mieszko
Format Journal Article
LanguageEnglish
Published 14.05.2019
Subjects
Physics - General Relativity and Quantum Cosmology
Physics - High Energy Physics - Theory
Online AccessGet full text

Cover

More Information
Summary:Phys. Rev. D 100, 044017 (2019) We develop a nonlinear perturbation theory of Reissner-Nordstr\"om black holes. We show that, at each perturbation level, Einstein-Maxwell equations can be reduced to four inhomogeneous wave equations, two for polar and two for axial sector. Gravitational part of these equations is similar to Regge-Wheeler and Zerilli equations with source and additional coupling to the electromagnetic sector. We construct solutions to the inhomogeneous part of wave equations in terms of sources for Einstein-Maxwell equations. We discuss $\ell=0$ and $ \ell=1$ cases separately.
DOI:10.48550/arxiv.1905.05516