机构:Kohat University of Science and Technology,Department of Mathematics
F. Ali
T. Feroze
论文数: 0引用数: 0
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机构:Kohat University of Science and Technology,Department of Mathematics
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;
D O I:
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学科分类号:
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.