The Z=Z(t/z)-Type Plane Wave Solutions of the Field Equations of General Relativity in a Plane Symmetric Space-Time

被引：2

作者：

Bhoyar, S. R. ^{[1
]}

Rane, R. S. ^{[2
]}

Katore, S. D. ^{[3
]}

Deshmukh, A. G. ^{[4
,5
]}

机构：

[1] Coll Agr, Dept Math, Darwha 445202, India

[2] Yashwantrao Chavan Coll Sci, Dept Math, Mangrulpir 444403, Washim, India

[3] St Gadgebaba Amravati Univ, Dept Math, Amravati 444603, India

[4] Govt Vidarbha Inst Sci & Humanities, Dept Math, Amravati, India

[5] Nagpur Div, Nagpur 440022, Maharashtra, India

来源：

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2011年 / 50卷 / 11期

关键词：

Plane symmetry; General relativity; Plane gravitational waves; Electromagnetic field except gauge transformation etc; GRAVITATIONAL WAVES;

D O I：

10.1007/s10773-011-0853-4

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Taub (Ann. Math., 53:472-490, 1951) has studied plane symmetry in Riemannian space-time by considering empty space-time admitting a three parameter group of motions. In this paper, we have deduced the line element of such a space-time for Z=Z(t/z)-type plane gravitational waves using suitable transformations following the concept of Takeno (Sci. Rep. Inst. Theor. Phys. Hiroshima Univ. 1, 1961), Lal and Ali (Tensor 20:281-302, 1969). Furthermore it has been shown that the deduced space-time admit plane wave solutions of the field equations of general relativity containing electromagnetic terms. Also we have studied electromagnetic field except gauge transformation with particular cases with respect to nu.

引用

页码：3467 / 3474

页数：8

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