Bianchi I with variable $G$ and $Λ$. Self-Similar approach

Details Bianchi I with variable $G$ and $Λ$. Self-Similar approach Bianchi I with variable $G$ and $Λ$. Self-Similar approach

2008-09-14

arxiv.org/abs/0809.2412v1

Int.J.Mod.Phys.A23:5021-5036,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages. accepted in IJMPA

Scientific paper

10.1142/S0217751X08043127

In this paper we study how to attack under the self-similarity hypothesis a perfect fluid Bianchi I model with variable $G,$and $\Lambda,$ but under the condition $\operatorname{div}T\neq0.$ We arrive to the conclusion that: $G$ and $\Lambda$ are decreasing time functions (the sing of $\Lambda$ depends on the equation of state), while the exponents of the scale factor must satisfy the conditions $\sum_{i=1}^{3}\alpha_{i}=1$ and $\sum_{i=1}^{3}\alpha_{i}^{2}<1,$ $\forall\omega\in(-1,1) ,$ relaxing in this way the Kasner conditions. We also show the connection between the behavior of $G$ and the Weyl tensor.

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