On Mass-Dependent Spheroidal Harmonics of Spin One-Half

Physics

Scientific paper

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Scientific paper

The angular functions in Chandrasekhar's separation of the variables of Dirac's equation in Kerr geometry are solved by an expansion procedure based on spin-weighted spherical harmonics. The characteristic values are obtained as a series in aσ, where a is the Kerr parameter and σ is the frequency. Closed expressions are obtained for the successive terms in the expansion. Numerical tables are provided.

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