Charged black holes: Wave equations for gravitational and electromagnetic perturbations

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.

arXiv comment12 pages, to appear in Ap.J

References in corpus (7)

• Rapid X-ray flaring from the direction of the supermassive black hole at the Galactic Centre
• Analytic Solutions of the Teukolsky Equation and their Low Frequency Expansions
• 'Stable' QPOs and Black Hole Properties from Diskoseismology
• Analytic Solutions of the Teukolsky Equation and their Properties
• On the interpretation of the burst structure of GRBs
• Computing radiation from Kerr black holes: Generalization of the Sasaki-Nakamura equation
• Teukolsky Master Equation: De Rham wave equation for the gravitational and electromagnetic fields in vacuum

Cited by in corpus (5)

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• Effect of charge on negative-phase-velocity propagation of electromagnetic waves in the ergosphere of a rotating black hole
• Principal null directions of perturbed black holes