International Journal of Theoretical Physics

, Volume 45, Issue 6, pp 1029–1039

Noether Symmetries Versus Killing Vectors and Isometries of Spacetimes

  • A. H. Bokhari
  • A. H. Kara
  • A. R. Kashif
  • F. D. Zaman


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 symmetries isometries of spacetimes Lie algebras 


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Copyright information

© Springer Science + Business Media, Inc. 2006

Authors and Affiliations

  • A. H. Bokhari
    • 1
  • A. H. Kara
    • 2
  • A. R. Kashif
    • 3
  • F. D. Zaman
    • 1
  1. 1.Department of Mathematical SciencesKing Fahd University of Petroleum and MineralsDhahranSaudi Arabia
  2. 2.School of Mathematics and Centre for Differential Equations, Continuum Mechanics and ApplicationsUniversity of the WitwatersrandJohannesburgSouth Africa
  3. 3.College of Electrical and Mechanical EngineeringNational University of Scieces and TechnologyRawalpindiPakistan

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