Classification of Variational Conservation Laws of General Plane Symmetric Spacetimes

被引：8

作者：

Al-Ali, Usamah S. ^{[1
]}

Bokhari, Ashfaque H. ^{[1
]}

Kara, A. H. ^{[2
]}

Shabbir, Ghulam ^{[3
]}

机构：

[1] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia

[2] Univ Witwatersrand, Sch Math, ZA-2050 Johannesburg, South Africa

[3] GIK Inst Engn Sci & Technol, Fac Engn Sci, Swabi, Kpk, Pakistan

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2017年 / 68卷 / 03期

关键词：

conservation laws; Noether symmetries; plane symmetric spacetimes; NOETHER SYMMETRIES; CURVATURE COLLINEATIONS; TIMES;

D O I：

10.1088/0253-6102/68/3/335

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this article we discuss Noether conservation laws admitted by a Lagrangian L = g(ab) (dx(a)/ds) (dx(b)/ds) 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.

引用

页码：335 / 341

页数：7

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