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arXiv · 1905.05516

Nonlinear perturbations of Reissner-Nordström black holes

Mieszko Rutkowski
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Abstract

We develop a nonlinear perturbation theory of Reissner-Nordström 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.

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Mieszko Rutkowski. 2019-05-14. Nonlinear perturbations of Reissner-Nordström black holes. https://doi.org/10.1103/physrevd.100.044017

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