Symmetries of the minimal Lagrangian hypersurfaces on Cylindrically Symmetric Static Space-Times

Document Type : Research Paper

Authors

1 Faculty of Mathematics, Statistics and Computer Sciences, University of Tabriz, Tabriz, Iran.

2 Department of Mathematics, University of Bonab, Bonab, Iran.

Abstract

In this work, we study a hypersurface immersed in specific types of cylindrically symmetric static space-times, then we identify the gauge fields of the Lagrangian that minimizes the area besides the Noether symmetries. We show that these symmetries are part of the Killing algebra of cylindrically symmetric static space-times. By using Noether's theorem, we construct the conserved vector fields for the minimal hypersurface.

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Articles in Press, Accepted Manuscript
Available Online from 28 April 2024
  • Receive Date: 27 January 2024
  • Revise Date: 24 April 2024
  • Accept Date: 27 April 2024