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arXiv · 1601.06771

On Axially Symmetric Space-Times Admitting Homothetic Vector Fields in Lyra's Geometry

Ragab M. Gad·A. E. Al Mazrooei
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Abstract

This paper investigates axially symmetric space-times that admit a homothetic vector field based on Lyra's geometry. The cases when the displacement vector is a function of $t$ and when it is constant are studied. In the context of this geometry, we find and classify the solutions of the Einstein's field equations (EFE) for the space-time under consideration, which display a homothetic symmetry.

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Ragab M. Gad, A. E. Al Mazrooei. 2018-03-31. On Axially Symmetric Space-Times Admitting Homothetic Vector Fields in Lyra's Geometry. https://doi.org/10.1139/cjp-2016-0114

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