Proper projective symmetry in LRS Bianchi type V spacetimes-Reference-Cited by-同舟云学术

Proper projective symmetry in LRS Bianchi type V spacetimes

Published:2018-04-30 Issue:13 Volume:33 Page:1850073
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

Shabbir Ghulam¹,Mahomed K. S.²,Mahomed F. M.³,Moitsheki R. J.²

Affiliation:

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

2. School of Computer Science and Applied Mathematics, University of the Witwatersrand, Johannesburg, Wits 2050, South Africa

3. 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

Abstract

In this paper, we investigate proper projective vector fields of locally rotationally symmetric (LRS) Bianchi type V spacetimes using direct integration and algebraic techniques. Despite the non-degeneracy in the Riemann tensor eigenvalues, we classify proper Bianchi type V spacetimes and show that the above spacetimes do not admit proper projective vector fields. Here, in all the cases projective vector fields are Killing vector fields.

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/S0217732318500736

Reference41 articles.

1. Homogeneous Relativistic Cosmologies

2. A class of homogeneous cosmological models

3. Projective collineations in Einstein spaces

4. Projective collineations in spacetimes

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