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arXiv · 1604.05638

Separability of test fields equations on the C-metric background II. Rotating case and the Meissner effect

David Kofroň
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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.

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David Kofroň. 2016-04-19. Separability of test fields equations on the C-metric background II. Rotating case and the Meissner effect. https://doi.org/10.1103/physrevd.93.104012

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