Fu, J.-L.; Li, Y.-M.; Cheng, H.-D.; Sun, X.-F. Lie Symmetries and Classification of Plane Symmetric Static Space-Times. Preprints2024, 2024071172. https://doi.org/10.20944/preprints202407.1172.v1
APA Style
Fu, J. L., Li, Y. M., Cheng, H. D., & Sun, X. F. (2024). Lie Symmetries and Classification of Plane Symmetric Static Space-Times. Preprints. https://doi.org/10.20944/preprints202407.1172.v1
Chicago/Turabian Style
Fu, J., Hui-Dong Cheng and Xiao-Fan Sun. 2024 "Lie Symmetries and Classification of Plane Symmetric Static Space-Times" Preprints. https://doi.org/10.20944/preprints202407.1172.v1
Abstract
In this study, we provide the Lie symmetries and a classification of plane symmetric static space-times. Based on the invariance of the Lagrange equations of plane symmetries static space-time systems under the transformation Lie group, we provide the Lie symmetry determination equation, Lie symmetry theorem, and the conserved quantity of the systems; by utilizing the Lie symmetry method to solute the system, we give complete classification of the plane symmetric static space-times systems. The research results indicate that using the Lie symmetry method to study plane symmetric static spacetime can identify a series of conserved quantities that exist in the system; Discovered 5 basic Lie symmetries in the system; When the metric parameters of the system are appropriately selected, the plane symmetric static spacetime can have 6, 7, 8, 9, 11, and 17 Lie symmetric symmetries and conserved quantities.
Copyright:
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