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Zbl 1084.83512
Saha, Bijan
Bianchi type I universe with viscous fluid.
(English)
[J] Mod. Phys. Lett. A 20, No. 28, 2127-2143 (2005). ISSN 0217-7323

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 $\Lambda$. The role of viscous fluid and $\Lambda$ 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 $\Lambda$ term can be handy in the elimination of the cosmological singularity. In particular, in case of a bulk viscosity, a negative $\Lambda$ provides a never-ending process of evolution, whereas, for some positive values of $\Lambda$ 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 $\Lambda$ term.
MSC 2000:
*83C55 Hydrodynamics (general relativity)
83F05 Relativistic cosmology

Keywords: Bianchi type I (BI) model; cosmological constant; viscous fluid

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Scientific prize winners of the ICM 2010
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