Separability of test fields equations on the C-metric background II. Rotating case and the Meissner effect
General Relativity and Quantum Cosmology
2020-03-25 v1
Abstract
We present the separation of the Teukolsky master equation for the test field of arbitrary spin on the background of the rotating C-metric. We also summarize and simplify some known results about Debye potentials of these fields on type D background. The equation for the Debye potential is also separated. Solving for the Debye potential of the electromagnetic field we show that on the extremely rotating C-metric no magnetic field can penetrate through the outer black hole horizon --- we thus recover the Meissner effect for the C-metric.
Keywords
Cite
@article{arxiv.1604.05638,
title = {Separability of test fields equations on the C-metric background II. Rotating case and the Meissner effect},
author = {David Kofroň},
journal= {arXiv preprint arXiv:1604.05638},
year = {2020}
}
Comments
6 pages, accepted for publication in Physical Review D