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

Abstract

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.

15 pages, 4 figures

References in corpus (6)

• Spinors, Inflation, and Non-Singular Cyclic Cosmologies
• Bianchi type I universe with viscous fluid
• Bianchi type I cosmological model with a viscous fluid
• Bianchi type I universe with viscous fluid: A qualitative analysis
• Anisotropic Cosmological Models with Energy Density Dependent Bulk Viscosity
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Cited by in corpus (5)

• Anisotropic cosmological models in $f(R,T)$ gravity with variable deceleration parameter
• Kaluza-Klein bulk viscous fluid cosmological models and the validity of the second law of thermodynamics in $f(R,T)$ gravity
• Dynamics of Bianchi $V{I}_h$ Universe with Bulk Viscous Fluid in Modified Gravity
• Anisotropic cosmological models with spinor and scalar fields and viscous fluid in presence of a $\Lambda$ term: qualitative solutions
• Interacting spinor and scalar fields in Bianchi type-I Universe filled with viscous fluid: exact and numerical solutions