Heun equation, Teukolsky equation, and type-D metrics

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.

Note:

27 pages, corrected typo in eq. (1)

04.30.-w
98.80.Jk
02.30.Hq
98.80.Es
04.62.+v
cosmology
gravitational waves
electromagnetic waves
space-time configurations
differential equations

References(17)

Figures(0)

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