On mass-dependent spheroidal harmonics of spin one-half

Abstract

Abstract 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.