International Journal of Theoretical Physics

, Volume 45, Issue 6, pp 1029–1039

Noether Symmetries Versus Killing Vectors and Isometries of Spacetimes

Authors

  • A. H. Bokhari
    • Department of Mathematical SciencesKing Fahd University of Petroleum and Minerals
  • A. H. Kara
    • School of Mathematics and Centre for Differential Equations, Continuum Mechanics and ApplicationsUniversity of the Witwatersrand
  • A. R. Kashif
    • College of Electrical and Mechanical EngineeringNational University of Scieces and Technology
  • F. D. Zaman
    • Department of Mathematical SciencesKing Fahd University of Petroleum and Minerals
Article

DOI: 10.1007/s10773-006-9096-1

Cite this article as:
Bokhari, A.H., Kara, A.H., Kashif, A.R. et al. Int J Theor Phys (2006) 45: 1029. doi:10.1007/s10773-006-9096-1

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.

Key Words

Noether symmetriesisometries of spacetimesLie algebras

Copyright information

© Springer Science + Business Media, Inc. 2006