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

A note on some perfect fluid Kantowski–Sachs and Bianchi type III spacetimes and their conformal vector fields in f(R) theory of gravity

Published:2019-04-09 Issue:11 Volume:34 Page:1950079
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

Shabbir Ghulam¹,Hussain Fiaz²,Kara A. H.³,Ramzan Muhammad²

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

Abstract

The purpose of this paper is to find conformal vector fields of some perfect fluid Kantowski–Sachs and Bianchi type III spacetimes in the [Formula: see text] theory of gravity using direct integration technique. In this study, there exist only eight cases. Studying each case in detail, we found that in two cases proper conformal vector fields exist while in the rest of the cases, conformal vector fields become Killing vector fields. The dimension of conformal vector fields is either 4 or 6.

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/S0217732319500792

Reference38 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

Cited by 26 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Framework for charged compact objects admitting conformal motion in higher dimension;PLOS ONE;2024-08-26

2. Stability of charged anisotropic thin shell gravastars admitting conformal motion in f(R,T) gravity;Annals of Physics;2024-06

3. Characterizations of vacuum solutions of f(R) − gravity in space-times admitting Z tensor of Codazzi type;Physica Scripta;2024-03-29

4. Conformal motion for higher-dimensional compact objects;The European Physical Journal C;2023-12-06

5. Classification of exact Bianchi type V cosmological solutions via conformal vector fields admitting energy conditions in f(T) gravity;Results in Physics;2023-09