Abstract

TORRES DEL CASTILLO, G. F. Spin-weighted spherical harmonics and their applications. Rev. mex. fis. [online]. 2007, vol.53, suppl.2, pp.125-134. ISSN 0035-001X.

A brief introduction to the spin-weighted spherical harmonics is given, and some applications of these functions in the solution by separation of variables of various systems of partial differential equations are presented. The examples considered here are the source-free Maxwell equations in flat space-time and in the Schwarzschild space-time, the Einstein vacuum field equations linearized about the flat space-time and the Dirac equation.

Keywords : Spherical harmonics; Maxwell's equations; Schwarzschild solution; linearized Einstein equations; Dirac equation.

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