Abstract

The present study deals with spatially homogeneous and totally anisotropic Bianchi type-VI0 bulk viscous cosmological models in Lyra geometry. The Einstein’s field equations have been solved exactly by taking the shear (σ) in the model proportional to expansion scalar ( θ ) which leads to A = Bn, where A and B are metric functions and n is a positive constant (n > 1). We also adopt a condition ζ θ = L (constant) where ζ is the coefficient of bulk viscosity. It has been found that the displacement vector (β) is a decreasing function of time and it approaches to a small positive value at late time which is supported by recent observations. It is also found that the distance modulus curve of derived model matches with observations perfectly.

Highlights

  • Several modifications of Riemannian geometry have been proposed so far in an attempt to unify gravitation, electromagnetic field and many other effects in the universe

  • It has been found that the displacement vector (b) is a decreasing function of time and it approaches to a small positive value at late time which is supported by recent observations

  • Cosmological observations on expansion history of the universe indicate that current universe is expanding and accelerating. This late time accelerated expansion of the universe has been confirmed by high redshift supernovae experiments (Riess et al [7], Perlmutter et al [8], Bennett et al [9])

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Summary

Introduction

Several modifications of Riemannian geometry have been proposed so far in an attempt to unify gravitation, electromagnetic field and many other effects in the universe. Abstract The present study deals with spatially homogeneous and totally anisotropic Bianchi type-VI0 bulk viscous cosmological models in Lyra geometry. The Einstein’s field equations have been solved exactly by taking the shear (r) in the model proportional to expansion scalar ðhÞ which leads to A = Bn, where A and B are metric functions and n is a positive constant (n [ 1).

Results
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