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ON GENERALIZED MONOPOLE SPHERICAL HARMONICS AND THE WAVE EQUATION OF A CHARGED MASSIVE KERR BLACK HOLE

SHABNAM BEHESHTI

Department of Mathematics, Rutgers University, Piscataway, NJ, USA

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and

FLOYD L. WILLIAMS

Department of Mathematics, University of Massachusetts, Amherst, MA, USA

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https://doi.org/10.1142/S0217732310034389Cited by:0 (Source: Crossref)

Abstract

We find linearly independent solutions of the Goncharov–Firsova equation in the case of a massive complex scalar field on a Kerr black hole. The solutions generalize, in some sense, the classical monopole spherical harmonic solutions previously studied in the massless cases.

Keywords:

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