Heun equation, Teukolsky equation, and type-D metrics

Details Heun equation, Teukolsky equation, and type-D metrics Heun equation, Teukolsky equation, and type-D metrics

2007-01-11

arxiv.org/abs/gr-qc/0701064v2

J.Math.Phys.48:042502,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

27 pages, corrected typo in eq. (1)

Scientific paper

10.1063/1.2720277

Starting with the whole class of type-D vacuum backgrounds with cosmological
constant we show that the separated Teukolsky equation for zero rest-mass
fields with spin $s=\pm 2$ (gravitational waves), $s=\pm 1$ (electromagnetic
waves) and $s=\pm 1/2$ (neutrinos) is an Heun equation in disguise.

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