Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2004-10-13
Physica D219:168-176,2006
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
RevTex, 16 pages, 32 figures
Scientific paper
10.1016/j.physd.2006.06.003
The nature of cosmological solutions for a homogeneous, anisotropic Universe given by a Bianchi type-I (BI) model in the presence of a Cosmological constant $\Lambda$ is investigated by taking into account dissipative process due to viscosity. The system in question is thoroughly studied both analytically and numerically. It is shown the viscosity, as well as the $\Lambda$ term exhibit essential influence on the character of the solutions. In particular a negative $\Lambda$ gives rise to an ever-expanding Universe, whereas, a suitable choice of initial conditions plus a positive $\Lambda$ can result in a singularity-free oscillatory mode of expansion. For some special cases it is possible to obtain oscillations in the exponential mode of expansion of the BI model even with a negative $\Lambda$, where oscillations arise by virtue of viscosity.
Rikhvitsky Victor
Saha Bijan
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