Nonlinear Spinor Field in Anisotropic Bianchi Type-III Space-Time

P A Bolke, S K Waghmare

Abstract: The role of nonlinear spinor and gravitational field in the evolution of the universe has been studied for the case of anisotropic Bianchi type-III space-time. Assuming that the expansion of the Bianchi-III space-time is proportional to the component of the shear tensor. The system allows exact solutions only for some special choice of spinor field nonlinearity.

Keywords: Spinor field, Bianchi type-III space-time, Gravitational Field, Tensor