Noether Symmetries Versus Killing Vectors and Isometries of Spacetimes |
| |
| Authors: | A. H. Bokhari A. H. Kara A. R. Kashif F. D. Zaman |
| |
| Affiliation: | (1) Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Saudi Arabia;(2) School of Mathematics and Centre for Differential Equations, Continuum Mechanics and Applications, University of the Witwatersrand, Wits 2050 Johannesburg, South Africa;(3) College of Electrical and Mechanical Engineering, National University of Scieces and Technology, Peshawar Road, Rawalpindi, Pakistan |
| |
| Abstract: | Symmetries of spacetime manifolds which are given by Killing vectors are compared with the symmetries of the Lagrangians of the respective spacetimes. We find the point generators of the one parameter Lie groups of transformations that leave invariant the action integral corresponding to the Lagrangian (Noether symmetries). In the examples considered, it is shown that the Noether symmetries obtained by considering the Larangians provide additional symmetries which are not provided by the Killing vectors. It is conjectured that these symmetries would always provide a larger Lie algebra of which the KV symmetres will form a subalgebra. PACS: 04.25.-g, 02.20.Sv, 11.30.-j |
| |
| Keywords: | Noether symmetries isometries of spacetimes Lie algebras |
| 本文献已被 SpringerLink 等数据库收录！ |
|
