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

Mohammadpouri, Akram; Hashemi, Mir Sajjad; Samaei, Sona; Salar Anvar, Sarkar

doi:10.22034/cmde.2024.60285.2572

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	Symmetries of the minimal lagrangian hypersurfaces on cylindrically symmetric static space-times
Computational Methods for Differential Equations
مقاله 18، دوره 13، شماره 1، فروردین 2025، صفحه 249-257 اصل مقاله (311.18 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2024.60285.2572
نویسندگان
Akram Mohammadpouri^* ¹؛ Mir Sajjad Hashemi²؛ Sona Samaei¹؛ Sarkar Salar Anvar¹
¹Faculty of Mathematics, Statistics and Computer Sciences, University of Tabriz, Tabriz, Iran.
²Department of Mathematics, University of Bonab, Bonab, Iran.
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

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