The massive spin-(3/2) field equation is explicitly integrated in the Robertson-Walker space-time by the Newman Penrose formalism. The solution is obtained by extending a separation procedure previously used to solve the spin-1 equation. The separated time dependence results in two coupled equations depending on the cosmological background evolution. The separated angular equations are explicitly integrated and the eigenvalues determined. The separated radial equations are integrated in the flat space-time case. The separation method of solution is then generalized, by induction, to prove the main result, that is the separability of the massive field equations of arbitrary spin in the Robertson-Walker space-time.
|Titolo:||Separation of massive field equation of arbitrary spin in Robertson-Walker space-time|
ZECCA, ANTONIO (Primo)
|Parole Chiave:||Fundamental problems and general formalism; relativistic wave equations; partial differential equations; exact solutions; mathematical and relativistic aspects of cosmology|
|Settore Scientifico Disciplinare:||Settore FIS/02 - Fisica Teorica, Modelli e Metodi Matematici|
|Data di pubblicazione:||2006|
|Digital Object Identifier (DOI):||10.1393/ncb/i2006-10003-4|
|Appare nelle tipologie:||01 - Articolo su periodico|