Geodesic
Cylindrically symmetric gravitational-wavelike space–times
Teoretičeskaâ i matematičeskaâ fizika, Tome 193 (2017) no. 2, pp. 343-355 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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F. Ali; T. Feroze. Cylindrically symmetric gravitational-wavelike space–times. Teoretičeskaâ i matematičeskaâ fizika, Tome 193 (2017) no. 2, pp. 343-355. http://geodesic.mathdoc.fr/item/TMF_2017_193_2_a9/

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