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Symmetries of the minimal Lagrangian hypersurfaces on Cylindrically Symmetric Static Space-Times | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 09 اردیبهشت 1403 اصل مقاله (1005.04 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 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. | ||
| کلیدواژه‌ها | ||
| Conserved vector fields؛ Minimal hypersurfaces؛ Noether Symmetries | ||
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آمار تعداد مشاهده مقاله: 36 تعداد دریافت فایل اصل مقاله: 62 |
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