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

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.

6 pages, accepted for publication in Physical Review D

References in corpus (6)

• Interpreting the C-metric
• On conformal Killing-Yano tensors for Plebanski-Demianski family of solutions
• Massless field perturbations of the spinning C metric
• Separability of test fields equations on the C-metric background
• Black hole Meissner effect and entanglement
• Accelerating electromagnetic magic field from the C-metric

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• The Meissner Effect for axially symmetric charged black holes
• Massless fermions on static general prolate metrics and their Heun solutions
• On the nature of cosmic strings in black hole spacetimes
• Zooming in on the horizon when in its Meissner state
• Cosmic strings in axisymmetric black hole spacetimes; the C--metric "engines"