Homothetic motion in a Bianchi type-V model in Lyra geometry

الملخص EN

In this paper we study a homothetic vector field of a Bianchi type-V model based on Lyra geometry.

The aim of this paper is to get the components of homothetic vector field in Lyra geometry for Bianchi type-V, compare between it and the case of Bianchi type-I.

Using ordinary method and Computer program to get the components of the vector .

The results are compatible in the two methods and get the condition that the results tends to the case of Bianchi type-I.

The cases when a displacement vector is a function of t and when it is constant are considered.

In both two cases we investigate the equation of state.