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

Article

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

Kofroň, D.

Phys. Rev. D 93, 104012 (2016)

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.

Institute authors

Kofroň, David

Supported by

GACR 14-37086G — Albert Einstein Center for Gravitation and Astrophysics

BibTeX

@article{UTF580,
  author        = {Kofroň, D.},
  title         = {{Separability of test fields equations on the C-metric background. II. Rotating case and the Meissner effect}},
  journal       = {Phys. Rev. D},
  volume        = {93},
  pages         = {104012},
  year          = {2016},
  doi           = {10.1103/PhysRevD.93.104012},
}