Symmetry structure of a wave equation on some classes of Bianchi cosmological models

被引：4
作者：
Jamal, S. [1 ,2 ]
Kara, A. H. [1 ,2 ]
Narain, R. [3 ]
Shabbir, G. [4 ]
机构：
[1] Univ Witwatersrand, Sch Math, Johannesburg, South Africa
[2] Univ Witwatersrand, Ctr Differential Equat Continuum Mech & Applicat, Johannesburg, South Africa
[3] Univ KwaZulu Natal, Sch Math Sci, Durban, South Africa
[4] GIK Inst Engn Sci & Technol, Fac Engn Sci, Swabi, Kpk, Pakistan
来源：
INDIAN JOURNAL OF PHYSICS | 2015年 / 89卷 / 04期
基金：
新加坡国家研究基金会;
关键词：
Noether symmetries; Wave equations; Bianchi metrics; CONSERVATION-LAWS; NOETHER;
D O I：
10.1007/s12648-014-0625-0
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Nonlinear wave equations are constructed on certain Bianchi models and a symmetry analysis of these equations are performed to construct some exact solutions. Conservation laws of the respective wave equations are also obtained by the application of Noether's theorem. We show how a knowledge of these contributes to the reduction of the wave equation on this manifold.
引用
收藏
页码：411 / 416
页数：6
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