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arxiv: gr-qc/0701064 · v2 · submitted 2007-01-11 · 🌀 gr-qc

Heun equation, Teukolsky equation, and type-D metrics

D. Batic , H. Schmid This is my paper
classification 🌀 gr-qc
keywords equationheunteukolskytype-dwavesbackgroundsclassconstant
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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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