CYLINDRICALLY SYMMETRIC GRAVITATIONAL-WAVELIKE SPACE-TIMES

被引：10

作者：

Ali, F. ^{[1
]}

Feroze, T. ^{[2
]}

机构：

[1] Kohat Univ Sci & Technol, Dept Math, Kohat, Pakistan

[2] Natl Univ Sci & Technol, Sch Nat Sci, Islamabad, Pakistan

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2017年 / 193卷 / 02期

关键词：

Noether symmetry equation; Noether theorem; first integral; Einstein field equation; gravitational wave; COMPLETE CLASSIFICATION; NOETHER SYMMETRIES;

D O I：

10.1134/S0040577917110101

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present Noether symmetries of a geodetic Lagrangian for a time-conformal cylindrically symmetric space-time. We introduce a time-conformal factor in the general cylindrically symmetric space-time to make it nonstatic and then find approximate Noether symmetries of the action of the corresponding Lagrangian. Taking the perturbation up to the first order, we find all Lagrangians for cylindrically symmetric space-times for which approximate Noether symmetries exist.

引用

页码：1703 / 1714

页数：12

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