Noether symmetries of Bianchi type I spacetimes via Rif tree approach-Reference-Cited by-同舟云学术

Noether symmetries of Bianchi type I spacetimes via Rif tree approach

Published:2021-12-29 Issue:02 Volume:19 Page:
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:

Bokhari Ashfaque H.¹^ORCID,Farhan Muhammad²,Hussain Tahir²

Affiliation:

1. Department of Mathematics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

2. Department of Mathematics, University of Peshawar, Khyber Pakhtunkhwa, Pakistan

Abstract

In this paper, we have studied Noether symmetries of the general Bianchi type I spacetimes. The Lagrangian associated with the most general Bianchi type I metric is used to find the set of Noether symmetry equations. These equations are analyzed using an algorithm, developed in Maple, to get all possible Bianchi type I metrics admitting different Noether symmetries. The set of Noether symmetry equations is then solved for each metric to obtain the Noether symmetry algebras of dimensions 4, 5, 6 and 9.

Funder

KFUPM

Publisher

World Scientific Pub Co Pte Ltd

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021988782250030X

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