Publikace ÚTF

Separability of test fields equations on the C-metric background

Kofroň, D.

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.
typ:article
journal:Phys. Rev. D
volume:92
pages:124064
year:2015
pacs:04.20.Jb, 04.20.Cv, 04.40.Nr, 04.70.Bw
grant:Centrum Alberta Einsteina pro gravitaci a astrofyziku, GAČR 14-37086G, 2014-2018
files:
physrevd.92.124064.pdf (202.62 kB)

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