Separability of test fields equations on the C-metric background. II. Rotating case and the Meissner effect
David Kofroň
DOI 10.1103/PhysRevD.93.104012 · Physical Review D
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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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