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.
|Titolo:||Massive field equations of arbitrary spin in Schwarzschild geometry: Separation induced by spin-(3)/(2) case|
ZECCA, ANTONIO (Primo)
|Parole Chiave:||Exact solutions; Massive field equations; Schwarzschild geometry; Variables separation|
|Settore Scientifico Disciplinare:||Settore FIS/02 - Fisica Teorica, Modelli e Metodi Matematici|
|Data di pubblicazione:||2006|
|Digital Object Identifier (DOI):||10.1007/s10773-006-9185-1|
|Appare nelle tipologie:||01 - Articolo su periodico|