Title of article :
Symmetries of the minimal lagrangian hypersurfaces on cylindrically symmetric static space-times
Author/Authors :
Mohammadpouri ، Akram Faculty of Mathematics, Statistics and Computer Science - University of Tabriz , Hashemi ، Mir Sajjad Department of Mathematics - University of Bonab , Samaei ، Sona Faculty of Mathematics, Statistics and Computer Sciences - University of Tabriz , Salar Anvar ، Sarkar Faculty of Mathematics - University of Tabriz
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 beside 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.
Keywords :
Conserved vector fields , Cylindrically space , times , Minimal Lagrangian , Symmetries
Journal title :
Computational Methods for Differential Equations
Journal title :
Computational Methods for Differential Equations