|
This article is cited in 9 scientific papers (total in 9 papers)
Cylindrically symmetric gravitational-wavelike space–times
F. Alia, T. Ferozeb a Department of Mathematics, Kohat University of Science and Technology, Kohat, Pakistan
b School of Natural Sciences, National University of Sciences and Technology, Islamabad, Pakistan
Abstract:
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.
Keywords:
Noether symmetry equation, Noether theorem, first integral, Einstein field equation, gravitational wave.
Received: 11.01.2016 Revised: 13.12.2016
Citation:
F. Ali, T. Feroze, “Cylindrically symmetric gravitational-wavelike space–times”, TMF, 193:2 (2017), 343–355; Theoret. and Math. Phys., 193:2 (2017), 1703–1714
Linking options:
https://www.mathnet.ru/eng/tmf9148https://doi.org/10.4213/tmf9148 https://www.mathnet.ru/eng/tmf/v193/i2/p343
|
Statistics & downloads: |
Abstract page: | 290 | Full-text PDF : | 99 | References: | 50 | First page: | 19 |
|