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

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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.

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Acknowledgments

This work was funded by the Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah, under grant No. (965-017-D1434). The author, therefore, acknowledge with thanks DSR technical and financial support.

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Authors and Affiliations

  1. Mathematics Department, Faculty of Science, King Abdulaziz University, 21589, Jeddah, Kingdom of Saudi Arabia

    Ragab M. Gad

  2. Mathematics Department, Faculty of Science, Minia University, 61915, El-Minia, Egypt

    Ragab M. Gad

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  1. Ragab M. Gad
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Correspondence to Ragab M. Gad.

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Gad, R.M. Homothetic Motion in a Bianchi Type-I Model in Lyra Geometry. Int J Theor Phys 54, 2932–2941 (2015). https://doi.org/10.1007/s10773-015-2528-z

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  • DOI: https://doi.org/10.1007/s10773-015-2528-z

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