The massive spin 1 equation is separated in the standard Schwarzschild space-time by adopting the Newman-Penrose formalism. The variable separation is performed by an elementary method and produces the same separated angular equation of the Robertson-Walker space-time case. The radial dependence consists of seven radial coupled ordinary differential equations. They are finally reduced to three decoupled ordinary equations of the fourth order. The knowledge of the solution of one of these last equations suffices to have the complete solution.
Massive Spin-1 Equation in Schwarzschild Geometry / A. Zecca. - In: IL NUOVO CIMENTO DELLA SOCIETÀ ITALIANA DI FISICA. B, GENERAL PHYSICS, RELATIVITY, ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS. - ISSN 1594-9982. - 120B:9(2005), pp. 1017-1020. [10.1393/ncb/i2005-10077-4]
Massive Spin-1 Equation in Schwarzschild Geometry
A. ZeccaPrimo
2005
Abstract
The massive spin 1 equation is separated in the standard Schwarzschild space-time by adopting the Newman-Penrose formalism. The variable separation is performed by an elementary method and produces the same separated angular equation of the Robertson-Walker space-time case. The radial dependence consists of seven radial coupled ordinary differential equations. They are finally reduced to three decoupled ordinary equations of the fourth order. The knowledge of the solution of one of these last equations suffices to have the complete solution.
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