Article,

Charged black holes: Wave equations for gravitational and electromagnetic perturbations

, and .
The Astrophysical Journal, 582 (1): 342--346 (Nov 11, 2002)
DOI: 10.1086/344572

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 \$\Phi\_0\$ and to the shear \$\sigma\$ of a principal null direction of the Weyl curvature. The whole construction rests on the tripod of three distinct derivatives of the first curvature \$\kappa\$ of a principal null direction.

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