Charged black holes: Wave equations for gravitational and electromagnetic perturbations

Details Charged black holes: Wave equations for gravitational and electromagnetic perturbations Charged black holes: Wave equations for gravitational and electromagnetic perturbations

2002-11-11

arxiv.org/abs/gr-qc/0211036v1

Astrophys.J. 582 (2003) 342-346

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, to appear in Ap.J

Scientific paper

10.1086/344572

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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