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The present paper includes the Lie symmetry analysis of the Rindler’s geodesics. Geometric vector fields of symmetries are found via the standard Lie algorithm. The general form of solutions constructed… Click to show full abstract
The present paper includes the Lie symmetry analysis of the Rindler’s geodesics. Geometric vector fields of symmetries are found via the standard Lie algorithm. The general form of solutions constructed by the symmetries are given. Hamiltonian equations and Hamiltonian symmetries are calculated by the use of obtained symmetry operators. Finally conservation laws are computed via two different methods. A method which is based on the modifies version of Noether’s theroem by a formal Lagrangian introduced by Ibragimov. Also, another conservation laws are calculated by the direct method. Subject Classification: (2000) 76M60, 37K05, 70H33.
Journal Title: Journal of Interdisciplinary Mathematics
Year Published: 2021
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