Electromagnetic Quantum Field Theory on Kerr-Newman Black Holes

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We study classical and quantum aspects of electromagnetic perturbations on black hole space-times.

• We develop an elegant formalism introduced by Wald, which sets up the theory of linear perturbations in a Type-D background in a compact and transparent manner.
• We derive expressions for the electromagnetic potential in terms of the single Newman-Penrose scalar \phi_0.This enables the formulation of the quantum theory of the electromagnetic field as that of a complex scalar field.
• We study the separable field equations obeyed by the various Newman-Penrose scalars in the Kerr-Newman background and find, for various limits, the asymptotic behaviour of the radial and angular solutions.