Symmetries of the minimal lagrangian hypersurfaces on cylindrically symmetric static space-times

نویسندگان
Mohammadpouri, Akram ID 1
Samaei, Sona ID 2
Salar Anvar, Sarkar ID 3
Hashemi, Mir Sajjad ID 4

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

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

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

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

doi
10.22034/cmde.2024.60285.2572
چکیده

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.

کلیدواژه‌ها
Conserved vector fields, Cylindrically space-times, Minimal Lagrangian, Symmetries