POTENTIAL FUNCTIONS ADMITTED BY WELL-KNOWN SPHERICALLY SYMMETRIC STATIC SPACETIMES

被引：16

作者：

Jamal, Sameerah ^{[1
,2
]}

Shabbir, Ghulam ^{[3
]}

机构：

[1] Univ Witwatersrand, Sch Math, ZA-2001 Johannesburg, South Africa

[2] Univ Witwatersrand, Ctr Differential Equat Continuum Mech & Applicat, ZA-2001 Johannesburg, South Africa

[3] GIK Inst Engn Sci & Technol, Fac Engn Sci, Swabi 23460, Kpk, Pakistan

来源：

REPORTS ON MATHEMATICAL PHYSICS | 2018年 / 81卷 / 02期

基金：

新加坡国家研究基金会;

关键词：

Lie symmetry; potential functions; Klein-Gordon equation; KLEIN-GORDON EQUATION; WAVE-EQUATION; GEOMETRY; TIMES;

D O I：

10.1016/S0034-4877(18)30037-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Conformal groups, which also represent the point symmetries of wave and Klein-Gordon equations, give rise to interesting forms of an associated potential function. The exact nature of the relationship between the conformal groups and the wave and Klein-Gordon equations is given by a geometric condition, that we exploit to determine a variety of potentials functions. Due to the volume of potentials, we display the results in tables.

引用

页码：201 / 212

页数：12

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