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Bianchi type I universe with viscous fluid

Bijan Saha
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Abstract

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 $Λ$. The role of viscous fluid and $Λ$ term in the evolution the BI space-time 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 $Λ$ term can be handy in the elimination of the cosmological singularity. In particular, in case of a bulk viscosity, it provides an everlasting process of evolution ($Λ< 0$), whereas, for some positive values of $Λ$ 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 oscillatory mode accompanied by an exponential growth even with a negative $Λ$. Space-time singularity in this case occurs at $t \to -\infty$.

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Bijan Saha. 2004-10-13. Bianchi type I universe with viscous fluid. https://doi.org/10.1142/s021773230501830x

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