Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2009-05-15
Class.Quant.Grav.26:175003,2009
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
11 pages, RevTeX4
Scientific paper
10.1088/0264-9381/26/17/175003
We study several cosmological models with Bianchi VI_0&III symmetries under the self-similar approach. We find new solutions for the "classical" perfect fluid model as well as for the vacuum model although they are really restrictive for the equation of state. We also study a perfect fluid model with time-varying constants, $G$ and $\Lambda.$ As in other models studied we find that the behaviour of $G$ and $\Lambda$ are related. If $G$ behaves as a growing time function then $\Lambda$ is a positive decreasing time function but if $G$ is decreasing then $\Lambda_{0}$ is negative. We end by studying a massive cosmic string model, putting special emphasis on calculating the numerical values of the equations of state. We show that there is no SS solution for a string model with time-varying constants.
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