Abstract:
The series of Killing vectors for the line element (2) are described. Their algebras and curvature are presented. Explicit expressions of the metrics for higher symmetries are given.
Citation:
G. L. Rcheulishvili, “Spherically symmetric line element and Killing vectors in five-dimensional space”, TMF, 102:3 (1995), 345–351; Theoret. and Math. Phys., 102:3 (1995), 251–256
\Bibitem{Rch95}
\by G.~L.~Rcheulishvili
\paper Spherically symmetric line element and Killing vectors in five-dimensional space
\jour TMF
\yr 1995
\vol 102
\issue 3
\pages 345--351
\mathnet{http://mi.mathnet.ru/tmf1271}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1348846}
\zmath{https://zbmath.org/?q=an:0852.53081}
\transl
\jour Theoret. and Math. Phys.
\yr 1995
\vol 102
\issue 3
\pages 251--256
\crossref{https://doi.org/10.1007/BF01017875}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995RZ02000003}
Linking options:
https://www.mathnet.ru/eng/tmf1271
https://www.mathnet.ru/eng/tmf/v102/i3/p345
This publication is cited in the following 6 articles:
A. V. Aminova, D. R. Khakimov, “Algebry Li proektivnykh dvizhenii pyatimernykh psevdorimanovykh prostranstv. I. Predvaritelnye svedeniya”, Geometriya, mekhanika i differentsialnye uravneniya, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 212, VINITI RAN, M., 2022, 10–29
A. V. Aminova, D. R. Khakimov, “Algebry Li proektivnykh dvizhenii pyatimernykh psevdorimanovykh prostranstv. II. Integrirovanie uravnenii Eizenkharta”, Geometriya, mekhanika i differentsialnye uravneniya, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 213, VINITI RAN, M., 2022, 10–37
A. V. Aminova, D. R. Khakimov, “Algebry Li proektivnykh dvizhenii pyatimernykh psevdorimanovykh prostranstv. III. Formy krivizny pyatimernykh zhestkikh h-prostranstv v kosonormalnom repere”, Algebra, geometriya i kombinatorika, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 214, VINITI RAN, M., 2022, 3–20
A. V. Aminova, D. R. Khakimov, “Algebry Li proektivnykh dvizhenii pyatimernykh psevdorimanovykh prostranstv. IV. Struktura proektivnykh i affinnykh algebr Li pyatimernykh zhestkikh h-prostranstv”, Algebra, geometriya i kombinatorika, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 215, VINITI RAN, M., 2022, 18–31
A. V. Aminova, D. R. Khakimov, “Algebry Li proektivnykh dvizhenii pyatimernykh psevdorimanovykh prostranstv. V. Algebry Li proektivnykh i affinnykh dvizhenii h-prostranstv H221 tipa {221}”, Algebra, geometriya, differentsialnye uravneniya, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 216, VINITI RAN, M., 2022, 12–28
G. L. Rcheulishvili, “Generalized Killing vectors in five-dimensional Lorentz manifold”, Theoret. and Math. Phys., 112:2 (1997), 995–998