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Bianchi type-I cosmological model for perfect fluid distribution in Lyra geometry. (English) Zbl 1153.85310

Summary: In this paper, we have investigated Bianchi type-I cosmological model with time dependent gauge function \(\beta\) for perfect fluid distribution within the framework of Lyra geometry. To get the deterministic model of the universe, we have assumed that eigenvalue \((\sigma^1_1)\) of shear tensor \((\sigma^j_i)\) is proportional to the expansion \((\theta)\). This leads to \(A=(BC)^n\), where \(A,B,C\) are metric potentials. The physical and geometrical aspects of the model and singularities in the model are also discussed.

MSC:

83C15 Exact solutions to problems in general relativity and gravitational theory
83F05 Relativistic cosmology
85A40 Astrophysical cosmology
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