Physics – General Physics
Scientific paper
2011-06-02
Astrophys. Space Sci 337: 379 - 385 (2012)
Physics
General Physics
11 pages, 4 figures and 1 table, Accepted for publication in Astrophysics and Space Science
Scientific paper
10.1007/s10509-011-0814-7
The present study deals with spatially homogeneous and totally anisotropic locally rotationally symmetric (LRS) Bianchi type I cosmological model with variable $G$ and $\Lambda$ in presence of imperfect fluid. To get the deterministic model of Universe, we assume that the expansion $(\theta)$ in the model is proportional to shear $(\sigma)$. This condition leads to $A=\ell B^{n}$, where $A$,\;$B$ are metric potential. The cosmological constant $\Lambda$ is found to be decreasing function of time and it approaches a small positive value at late time which is supported by recent Supernovae Ia (SN Ia) observations. Also it is evident that the distance modulus curve of derived model matches with observations perfectly.
Pradhan Anirudh
Singh Ajay Kumar
Yadav Anil Kumar
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