G. F. Torres del Castillo
Departamento de Física Matemática, Instituto de Ciencias de la Universidad Autónoma de Puebla, 72570 Puebla, Pue., México
Recibido el 18 de julio de 2005
Aceptado el 14 de marzo de 2005
Abstract
]]> 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.
Resumen
Se da una breve introducción a los armónicos esféricos con peso de espín, y se presentan algunas aplicaciones de estas funciones en la solución de varios sistemas de ecuaciones diferenciales parciales. Los ejemplos considerados aquí son las ecuaciones de Maxwell sin fuentes en espacio–tiempo plano y en el espacio–tiempo de Schwarzschild, las ecuaciones de Einstein para el vacío linealizadas alrededor del espacio–tiempo plano y la ecuación de Dirac.
Descriptores: Armónicos esféricos; ecuaciones de Maxwell; solución de Schwarzschild; ecuaciones de Einstein linealizadas; ecuación de Dirac.
PACS: 02.30.Gp; 02.30.Jr; 03.50.De; 04.20.–q; 03.65.Pm
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