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

General Relativity and Quantum Cosmology 2018-04-03 v2

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 tt 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.

Keywords

Cite

@article{arxiv.1601.06771,
  title  = {On Axially Symmetric Space-Times Admitting Homothetic Vector Fields in Lyra's Geometry},
  author = {Ragab M. Gad and A. E. Al Mazrooei},
  journal= {arXiv preprint arXiv:1601.06771},
  year   = {2018}
}

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15 pages, 0 figures