Separable electromagnetic perturbations of rotating black holes
arXiv:2011.03548 · doi:10.1103/PhysRevD.103.104049
Abstract
We identify a set of Hertz potentials for solutions to the vector wave equation on black hole spacetimes. The Hertz potentials yield Lorenz gauge electromagnetic vector potentials that represent physical solutions to the Maxwell equations, satisfy the Teukolsky equation, and are related to the Maxwell scalars by straightforward and separable inversion relations. Our construction, based on the GHP formalism, avoids the need for a mode ansatz and leads to potentials that represent both static and non-static solutions. As an explicit example, we specialise the procedure to mode-decomposed perturbations of Kerr spacetime and in the process make connections with previous results.
Minor typos corrected
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Cited by in corpus (5)
- New metric reconstruction scheme for gravitational self-force calculations
- Gravitational perturbations of rotating black holes in Lorenz gauge
- Metric perturbations of Kerr spacetime in Lorenz gauge: Circular equatorial orbits
- Sourced metric perturbations of Kerr spacetime in Lorenz gauge
- Off-shell duality invariance of Schwarzschild perturbation theory