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

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.

15 pages, 0 figures

References in corpus (5)

• Teleparallel Killing Vectors of the Einstein Universe
• Proper Weyl Collineations in Kantowski-Sachs and Bianchi Type III Space-Times
• Teleparallel Killing Vectors of Spherically Symmetric Spacetimes
• Homothetic Motion in a Bianchi Type-I Model in Lyra Geometry
• Axially Symmetric Cosmological Mesonic Stiff Fluid Models in Lyra's Geometry