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arXiv · 1408.4593

Massless field perturbations of the spinning C metric

Donato Bini·Christian Cherubini·Andrea Geralico
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Abstract

A single master equation is given describing spin $s\le2$ 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.

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Donato Bini, Christian Cherubini, Andrea Geralico. 2014-08-20. Massless field perturbations of the spinning C metric. https://doi.org/10.1063/1.2938699

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