Solution of radial spin-1 field equation in Robertson-Walker space-time via Heun’s equation
Articolo
Data di Pubblicazione:
2010
Citazione:
Solution of radial spin-1 field equation in Robertson-Walker space-time via Heun’s equation / A. Zecca. - In: IL NUOVO CIMENTO B. - ISSN 2037-4895. - 125:2(2010), pp. 191-199.
Abstract:
The spin-1 field equation is considered in Robertson-Walker space-time. The problem of the solution of the separated radial equations, previously discussed in the flat space-time case, is solved also for both the closed and open curvature case. The radial equation is reduced to Heun’s differential equation that recently has been widely reconsidered. It is shown that the solution of the present Heun equation does not fall into the class of polynomial-like or hypergeometric functions. Heun’s operator results also non-factorizable. The properties follow from application of general theorems and power series expansion. In the positive curvature case of the universe a discrete energy spectrum of the system is found. The result follows by requiring a polynomial-like behaviour of at least one component of the spinor field. Developments and applications of the theory suggest further study of the solution of Heun’s equation.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Robertson-Walker space-time ; spin 1 field equation ; partial differential equations ; ordinary differential equations ; exact solutions
Elenco autori:
A. Zecca
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