## 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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### References:

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