Classification of Variational Conservation Laws of General Plane Symmetric Spacetimes. (September 2017)

• Record Type: Journal Article
• Authors: Al-Ali, Usamah S.; Bokhari, Ashfaque H.; Kara, A. H.; Shabbir, Ghulam
• Is Part Of: Communications in theoretical physics. Volume 68:Number 3(2017:Sep.)
• Publication Date: 2017-09
• Subjects: conservation laws -- Noether symmetries -- plane symmetric spacetimes; 04.20.-q -- 04.20.Jb -- 02.20.Sv; Physics -- Periodicals; 530.105
• DOI: 10.1088/0253-6102/68/3/335
• Languages: English
• ISSNs: 0253-6102

Abstract

Abstract: In this article we discuss Noether conservation laws admitted by a Lagrangian L = g a b ( d x a / d s ) ( d x b / d s ) of a test particle moving in the field of a general plane symmetric non-static spacetime metric. In this context, we first present a general solution representing a Noether symmetry vector subject to differential constraints satisfied by the general plane symmetric non-static metric. We then use a class of plane symmetric non-static metrics obtained by Feroze et al. and discuss, in each case, Noether conservation laws in comparison with Killing symmetries.