Vector potential and metric perturbations of a rotating black hole

Astronomy and Astrophysics – Astronomy

Scientific paper

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108

Black Holes (Astronomy), Green'S Functions, Perturbation Theory, Space-Time Functions, Angular Momentum, Potential Theory, Quantum Theory, Transformations (Mathematics)

Scientific paper

The assumption of factorized Green's functions together with the inhomogeneous Teukolsky equations are used to derive analytic expressions for homogeneous metric (and vector potential) perturbations of a Kerr black hole. These homogeneous solutions are used to construct solutions to the perturbation equations when sources are present. What one finds are particularly simple formulas for the energy and angular momentum flux in the asymptotic regions at plus or minus infinity.-

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