A note on some Bianchi type II spacetimes and their conformal vector fields in f(R) theory of gravity-Reference-Cited by-同舟云学术

A note on some Bianchi type II spacetimes and their conformal vector fields in f(R) theory of gravity

Published:2019-12-13 Issue:38 Volume:34 Page:1950320
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

Hussain Fiaz¹,Shabbir Ghulam²,Jamal S.³,Ramzan Muhammad¹

Affiliation:

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

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

3. School of Mathematics and DST-NRF Centre of Excellence in Mathematical & Statistical Sciences, University of the Witwatersrand, Johannesburg 2050, South Africa

Abstract

The aim of this paper is to find proper conformal vector fields of some Bianchi type II spacetimes in the f[Formula: see text](R[Formula: see text]) theory of gravity using direct integration technique. In this study, seven cases have been discussed. Studying each case in detail, it is shown that the spacetimes under consideration do not admit proper conformal vector fields. Conformal vector fields are either homothetic vector fields or Killing vector fields.

Funder

National Research Foundation of South Africa

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732319503206

Reference37 articles.

1. Killing and Noether Symmetries of Plane Symmetric Spacetime

2. Classification of static spherically symmetric space-times in f(R) theory of gravity according to their conformal vector fields

3. Applications of conformal symmetry in quantum electrodymanics