Massless field perturbations of the spinning C metric
Abstract
A single master equation is given describing spin test fields that are gauge- and tetrad-invariant perturbations of the {\it spinning C metric} spacetime representing a source with mass , uniformly rotating with angular momentum per unit mass and uniformly accelerated with acceleration . 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 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 is discussed.
Keywords
Cite
@article{arxiv.1408.4593,
title = {Massless field perturbations of the spinning C metric},
author = {Donato Bini and Christian Cherubini and Andrea Geralico},
journal= {arXiv preprint arXiv:1408.4593},
year = {2015}
}
Comments
24 pages, no figures; published version. arXiv admin note: text overlap with arXiv:gr-qc/0301080