Killing and Noether Symmetries of Plane Symmetric Spacetime

被引：17

作者：

Shamir, M. Farasat ^{[1
]}

Jhangeer, Adil ^{[1
]}

Bhatti, Akhlaq Ahmad ^{[1
]}

机构：

[1] Qassim Univ, Deanship Educ Serv, Buraydah, Qassim, Saudi Arabia

来源：

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2013年 / 52卷 / 09期

关键词：

Killing symmetries; Noether gauge symmetries; Taub; Anti-deSitter; III COSMOLOGICAL MODEL; BLACK-HOLE SOLUTIONS; GEODESIC EQUATIONS; APPROXIMATE SYMMETRIES; CONSERVATION-LAWS; F(R) GRAVITY; ENERGY; CLASSIFICATION; ISOMETRIES; STABILITY;

D O I：

10.1007/s10773-013-1602-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper is devoted to investigate the Killing and Noether symmetries of static plane symmetric spacetime. For this purpose, five different cases have been discussed. The Killing and Noether symmetries of Minkowski spacetime in cartesian coordinates are calculated as a special case and it is found that Lie algebra of the Lagrangian is 10 and 17 dimensional respectively. The symmetries of Taub's universe, anti-deSitter universe, self similar solutions of infinite kind for parallel perfect fluid case and self similar solutions of infinite kind for parallel dust case are also explored. In all the cases, the Noether generators are calculated in the presence of gauge term. All these examples justify the conjecture that Killing symmetries form a subalgebra of Noether symmetries (Bokhari et al. in Int. J. Theor. Phys. 45:1063, 2006).

引用

页码：3106 / 3117

页数：12

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