Noether symmetries and isometries of the area-minimizing Lagrangian on vacuum classes of pp-waves
Faculty of Mathematics, Statistics and Computer Sciences, University of Tabriz, Tabriz, Iran
2 Department of Computer Engineering, Biruni University, Istanbul, Turkey
Accepted: 7 January 2023
Published online: 2 February 2023
In this paper, we provide the Noether symmetries with gauge fields of the area-minimizing hypersurface Lagrangian according to some vacuum classes of pp-waves. Also we show that they are elements of the Killing algebra of vacuum classes of pp-waves. Finally, we construct the conserved fields for the area-minimizing Lagrangian according to Noether’s theorem.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.