Wave equations for the perturbations of a charged black hole
Zolt'an Perj'es
TL;DR
This paper derives a pair of wave equations describing gravitational and electromagnetic perturbations of a charged black hole, simplifying analysis and potentially aiding astrophysical modeling.
Contribution
It introduces a new set of coupled wave equations for charged black hole perturbations, with one equation uncoupled and the other sourced, providing a straightforward derivation for symmetric cases.
Findings
Derived simple wave equations for perturbations
One equation is uncoupled, simplifying analysis
Potential applications in astrophysical models
Abstract
A pair of simple wave equations is presented for the symmetric gravitational and electromagnetic perturbations of a charged black hole. One of the equations is uncoupled, and the other has a source term given by the solution of the first equation. The derivation is presented in full detail for either axially symmetric or stationary perturbations, and is quite straightforward. This result is expected to have important applications in astrophysical models.
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