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Teoreticheskaya i Matematicheskaya Fizika, 2017, Volume 193, Number 2, Pages 343–355
DOI: https://doi.org/10.4213/tmf9148 (Mi tmf9148) 		 
This article is cited in 11 scientific papers (total in 11 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
Full-text PDF (442 kB) Citations (11)
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DOI: https://doi.org/10.4213/tmf9148
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
English version:
Theoretical and Mathematical Physics, 2017, Volume 193, Issue 2, Pages 1703–1714
DOI: https://doi.org/10.1134/S0040577917110101
Bibliographic databases:
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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