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arXiv · gr-qc/0211036

Charged black holes: Wave equations for gravitational and electromagnetic perturbations

Zoltán Perjés·Mátyás Vasúth
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Abstract

A pair of wave equations for the electromagnetic and gravitational perturbations of the charged Kerr black hole are derived. The perturbed Einstein-Maxwell equations in a new gauge are employed in the derivation. The wave equations refer to the perturbed Maxwell spinor $Φ_0$ and to the shear $σ$ of a principal null direction of the Weyl curvature. The whole construction rests on the tripod of three distinct derivatives of the first curvature $κ$ of a principal null direction.

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Zoltán Perjés, Mátyás Vasúth. 2002-11-11. Charged black holes: Wave equations for gravitational and electromagnetic perturbations. https://doi.org/10.1086/344572

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