Summary: We study the evolution of a homogeneous, anisotropic Universe given by a Bianchi type-I cosmological model filled with viscous fluid, in the presence of a cosmological constant . The role of viscous fluid and term in the evolution the BI spacetime is studied. Though the viscosity cannot remove the cosmological singularity, it plays a crucial part in the formation of a qualitatively new behavior of the solutions near singularity. It is shown that the introduction of the term can be handy in the elimination of the cosmological singularity. In particular, in case of a bulk viscosity, a negative provides a never-ending process of evolution, whereas, for some positive values of and the bulk viscosity being inverse proportional to the expansion, the BI Universe admits a singularity-free oscillatory mode of expansion. In case of a constant bulk viscosity and share viscosity being proportional to expansion, the model allows both non-periodic and inflationary expansion independent to the sign of term.
|83C55||Macroscopic interaction of the gravitational field with matter (general relativity)|