Heun equation, Teukolsky equation, and type-D metrics

D. Batic; H. Schmid

Heun equation, Teukolsky equation, and type-D metrics

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arxiv gr-qc/0701064 v2 pith:JTEMB2UT submitted 2007-01-11 gr-qc

D. Batic , H. Schmid This is my paper · ORCID

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keywords equationheunteukolskytype-dwavesbackgroundsclassconstant

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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.

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Projecting Gravitational Fluctuations onto Near-Horizon Throats
hep-th 2026-08 conditional novelty 7.0 of 10

A pair of coordinate changes projects Heun-type gravitational fluctuation equations onto two matched hypergeometric problems, reproducing instanton-counting results and yielding Schwarzian zero modes.

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