A note on classification of spatially homogeneous rotating space-times in f(R) theory of gravity according to their proper conformal vector fields-Reference-Cited by-同舟云学术

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

Published:2019-07 Issue:07 Volume:16 Page:1950111
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Shabbir Ghulam¹^ORCID,Hussain Fiaz²,Ramzan Muhammad²,Bokhari Ashfaque H.³

Affiliation:

1. Faculty of Engineering Sciences, GIK Institute of Engineering Sciences and Technology, Topi Swabi, KPK, Pakistan

2. Department of Mathematics, The Islamia University of Bahawalpur, Pakistan

3. Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887819501111

Reference46 articles.

1. Killing and Noether Symmetries of Plane Symmetric Spacetime

2. Exact Solutions of Einstein's Field Equations

3. Gravitational collapse in f (R) gravity for a spherically symmetric spacetime admitting a homothetic Killing vector

4. Conformal killing vectors of plane symmetric four dimensional lorentzian manifolds

5. Kinematic and dynamic properties of conformal Killing vectors in anisotropic fluids

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