A note on classification of spatially homogeneous rotating space-times in f(R) theory of gravity according to their proper conformal vector fields

2019/05/10 by Ghulam Shabbir, Fiaz Hussain, Muhammad Ramzan +1 · 6 citations
Physics and Astronomy · #Cosmology and Gravitation Theories #Black Holes and Theoretical Physics #Advanced Differential Geometry Research

paper · doi:10.1142/s0219887819501111

Abstract

In this paper, we present a study of proper conformal vector fields of spatially homogeneous rotating space-times in the [Formula: see text] theory of gravity. A total of six cases have been discussed in detail. It is found that the conformally non-flat spatially homogeneous rotating space-times do not admit proper conformal vector fields, while in a conformally flat case the space-time admits 15 independent conformal vector fields.

Citations

• Killing and Noether Symmetries of Plane Symmetric Spacetime
• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant

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• Classification of non-conformally flat static plane symmetric perfect fluid solutions via proper conformal vector fields in f(T) gravity
• Conformal vector fields in proper non-static plane symmetric spacetimes in f(R) gravity
• A note on classification of dust static plane symmetric space-times via proper curvature collineations in f(R) gravity
• Classification of proper non-static cylindrically symmetric perfect fluid space-times via conformal vector fields in f(R) gravity
• Existence of conformal vector fields of Bianchi type I space-times in f(R) gravity
• A note on some Bianchi type II spacetimes and their conformal vector fields in f(R) theory of gravity

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