Geodesic
Cylindrically symmetric gravitational-wavelike space--times
Teoretičeskaâ i matematičeskaâ fizika, Tome 193 (2017) no. 2, pp. 343-355

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{TMF_2017_193_2_a9,
     author = {F. Ali and T. Feroze},
     title = {Cylindrically symmetric gravitational-wavelike space--times},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {343--355},
     publisher = {mathdoc},
     volume = {193},
     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2017_193_2_a9/}
}
TY  - JOUR
AU  - F. Ali
AU  - T. Feroze
TI  - Cylindrically symmetric gravitational-wavelike space--times
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2017
SP  - 343
EP  - 355
VL  - 193
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2017_193_2_a9/
LA  - ru
ID  - TMF_2017_193_2_a9
ER  - 
%0 Journal Article
%A F. Ali
%A T. Feroze
%T Cylindrically symmetric gravitational-wavelike space--times
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2017
%P 343-355
%V 193
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2017_193_2_a9/
%G ru
%F TMF_2017_193_2_a9
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/