Separability of test fields equations on the C-metric background

Article

Separability of test fields equations on the C-metric background

Kofroň, D.

Phys. Rev. D 92, 124064 (2015)

Abstract

In the Kerr-Newman spacetime the Teukolsky master equation, governing the fundamental test fields, is
of great importance. We derive an analogous master equation for the nonrotating C-metric which
encompasses a massless Klein-Gordon field, neutrino field, Maxwell field, Rarita-Schwinger field and
gravitational perturbations. This equation is shown to be separable in terms of “accelerated spin-weighted
spherical harmonics.” It is shown that, contrary to ordinary spin-weighted spherical harmonics, the
“accelerated” ones are different for different spins. In some cases, the equations for eigenfunctions and
eigenvalues are explicitly solved.

Institute authors

Kofroň, David

Supported by

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

BibTeX

@article{UTF559,
  author        = {Kofroň, D.},
  title         = {{Separability of test fields equations on the C-metric background}},
  journal       = {Phys. Rev. D},
  volume        = {92},
  pages         = {124064},
  year          = {2015},
  doi           = {10.1103/PhysRevD.92.124064},
}