Noether generators and the Klein–Gordon potential on spaces with nonzero Weyl tensor-Reference-Cited by-同舟云学术

Noether generators and the Klein–Gordon potential on spaces with nonzero Weyl tensor

Published:2020-05-26 Issue:07 Volume:17 Page:2050110
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:

Jamal Sameerah¹^ORCID,Mathebula A.¹,Shabbir Ghulam²

Affiliation:

1. School of Mathematics University of the Witwatersrand, Johannesburg, Wits 2001, South Africa

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

Abstract

In this study, we investigate the potential functions [Formula: see text] that appear in the Lagrangian [Formula: see text], where [Formula: see text] is the metric of an arbitrary space. Our approach is based on a connection between the conformal Killing group associated with [Formula: see text] and the Noether symmetries of [Formula: see text]. To this effect, we select certain spaces that are characterized by a nonzero Weyl tensor.

Funder

National Research Foundation of South Africa

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887820501108

Reference22 articles.

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3. Symmetries, conservation laws, reductions, and exact solutions for the Klein–Gordon equation in de Sitter space–times

4. The geometric origin of Lie point symmetries of the Schrödinger and the Klein–Gordon equations

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