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Conformal vector fields in proper non-static plane symmetric spacetimes in $f (R)$ gravity

Fiaz Hussain

Department of Mathematics, The Islamia University of Bahawalpur, Pakistan

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Ghulam Shabbir

http://orcid.org/0000-0003-4502-6485

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

E-mail Address: shabbir@giki.edu.pk

E-mail Address: shabbir_gpk@yahoo.com

Corresponding author.

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F. M. Mahomed

DST-NRF Centre of Excellence in Mathematical and Statistical Sciences, School of Computer Science and Applied Mathematics, University of the Witwatersrand, Johannesburg, Wits 2050, South Africa

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, and

Muhammad Ramzan

Department of Mathematics, The Islamia University of Bahawalpur, Pakistan

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https://doi.org/10.1142/S0219887820500772Cited by:15 (Source: Crossref)

Abstract

Nonstatic plane symmetric spacetimes are considered to study conformal vector fields (VFs) in the $f (R)$ theory of gravity. Firstly, we investigate some proper nonstatic plane symmetric spacetimes by solving the Einstein field equations (EFEs) in the $f (R)$ theory of gravity using algebraic techniques. Secondly, we find CVFs of the obtained spacetimes by means of the direct integration approach. There exist seven cases. Studying each case in detail, we find that the CVFs are of dimension three, five, six and fifteen.

Keywords:

AMSC: 83C15, 83C40

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