Nonlinear spinor field in Bianchi type-I Universe filled with viscous fluid: numerical solutions

Details Nonlinear spinor field in Bianchi type-I Universe filled with viscous fluid: numerical solutions Nonlinear spinor field in Bianchi type-I Universe filled with viscous fluid: numerical solutions

2007-03-15

arxiv.org/abs/gr-qc/0703085v1

Astrophys.SpaceSci.312:3-11,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, 4 figures

Scientific paper

10.1007/s10509-007-9579-4

We consider a system of nonlinear spinor and a Bianchi type I gravitational fields in presence of viscous fluid. The nonlinear term in the spinor field Lagrangian is chosen to be $\lambda F$, with $\lambda$ being a self-coupling constant and $F$ being a function of the invariants $I$ an $J$ constructed from bilinear spinor forms $S$ and $P$. Self-consistent solutions to the spinor and BI gravitational field equations are obtained in terms of $\tau$, where $\tau$ is the volume scale of BI universe. System of equations for $\tau$ and $\ve$, where $\ve$ is the energy of the viscous fluid, is deduced. This system is solved numerically for some special cases.

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