Massless field perturbations of the spinning C metric

Abstract

A single master equation is given describing spin $s\le 2$ test fields that are gauge- and tetrad-invariant perturbations of the {\it spinning C metric} spacetime representing a source with mass $M$, uniformly rotating with angular momentum per unit mass $a$ and uniformly accelerated with acceleration $A$. This equation can be separated into its radial and angular parts. The behavior of the radial functions near the horizons is studied and used to examine the influence of $A$ on the phenomenon of superradiance, while the angular equation leads to modified spin-weighted spheroidal harmonic solutions generalizing those of the Kerr spacetime. Finally the coupling between the spin of the perturbing field and the acceleration parameter $A$ is discussed.

arXiv comment24 pages, no figures; published version. arXiv admin note: text overlap with arXiv:gr-qc/0301080

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• Scalar quasi-normal modes of accelerating Kerr-Newman-AdS black holes
• Hidden conformal symmetry for the accelerating Kerr black holes
• Quasinormal Modes in Near-Extremal Spinning C-Metric
• Separability of test fields equations on the C-metric background II. Rotating case and the Meissner effect
• Massless fermions on static general prolate metrics and their Heun solutions
• Quasinormal modes of gravitational perturbation for uniformly accelerated black holes
• Massless Dirac particles in the vacuum C-metric
• Warped Conformal Symmetries of the Accelerating Kerr Black Hole
• Charged massless scalar fields in a charged $C$-metric black hole: Exact solutions, Hawking radiation, and scattering of scalar waves