Heun equation, Teukolsky equation, and type-D metrics

Abstract

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.

27 pages, corrected typo in eq. (1)

Cited by in corpus (2)

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