Cylindrically symmetric gravitational-wavelike space–times

被引:0
|
作者
F. Ali
T. Feroze
机构
[1] Kohat University of Science and Technology,Department of Mathematics
[2] National University of Sciences and Technology,School of Natural Sciences
来源
Theoretical and Mathematical Physics | 2017年 / 193卷
关键词
Noether symmetry equation; Noether theorem; first integral; Einstein field equation; gravitational wave;
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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.
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页码:1703 / 1714
页数:11
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