Homothetic Motion in a Bianchi Type-I Model in Lyra Geometry

Abstract

In this paper we study a homothetic vector field of a Bianchi type-I model based on Lyra geometry. The cases when a displacement vector is function of $t$ and when it is constant are considered. In both two cases we investigate the equation of state. A comparison between the obtained results, using Lyra geometry, and that have obtained previously in the context of General Relativity, based on Riemannian geometry, will be given.

arXiv comment15 pages

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Cited by in corpus (2)

• On Axially Symmetric Space-Times Admitting Homothetic Vector Fields in Lyra's Geometry
• Homothetic Congruences in General Relativity