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On axially symmetric space–times admitting homothetic vector fields in Lyra’s geometry
Journal article   Peer reviewed

On axially symmetric space–times admitting homothetic vector fields in Lyra’s geometry

Ragab M Gad and A.E Al Mazrooei
Canadian journal of physics, Vol.94(11), pp.1148-1152
01/11/2016
DOI: https://doi.org/10.1139/cjp-2016-0114

Abstract

axially symmetric space–times champ vectoriel homothétique Einstein’s field equations espace–temps axialement symétrique géométrie de Lyra homothetic vector field Lyra’s geometry équations de champ d’Einstein
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 for the space–time under consideration, which display a homothetic symmetry.

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