Abstract

Bianchi type-I string cosmological models with time dependent gauge function (β) within the framework of Lyra geometry is presented. To get the deterministic model of the universe, we assume that the eigenvalue [Formula: see text] of shear tensor [Formula: see text] is proportional to the expansion (θ). This leads to A = (BC)nwhere A, B, C are metric potential and n is a constant. The physical and geometrical aspects of the model are discussed in detail. In a special case, the behavior of the model in terms of cosmic time t for [Formula: see text] is also discussed.

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