The separation of variables of the spin-3/2 field equation is performed in detail in the Schwarzschild geometry by means of the Newman Penrose formalism. The separated angular equations coincide with those relative to the Robertson-Walker space-time. The separated radial equations, that are much more entangled, can be reduced to four ordinary differential equations, each in one only radial function. As a consequence of the particular nature of the spin coefficients it is shown, by induction, that the massive field equations can be separated for arbitrary spin.
Massive field equations of arbitrary spin in Schwarzschild geometry: Separation induced by spin-(3)/(2) case / A. Zecca. - In: INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS. - ISSN 0020-7748. - 45:12(2006), pp. 2241-2247.
Massive field equations of arbitrary spin in Schwarzschild geometry: Separation induced by spin-(3)/(2) case
A. ZeccaPrimo
2006
Abstract
The separation of variables of the spin-3/2 field equation is performed in detail in the Schwarzschild geometry by means of the Newman Penrose formalism. The separated angular equations coincide with those relative to the Robertson-Walker space-time. The separated radial equations, that are much more entangled, can be reduced to four ordinary differential equations, each in one only radial function. As a consequence of the particular nature of the spin coefficients it is shown, by induction, that the massive field equations can be separated for arbitrary spin.Pubblicazioni consigliate
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