Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1896545 | Journal of Geometry and Physics | 2011 | 5 Pages |
Abstract
In an earlier paper (Feroze, 2010Â [21]), the existence of new conserved quantities (Noether invariants) for spaces of different curvatures was discussed. There, it was conjectured that the number of new conserved quantities for spaces with an m-dimensional section of zero curvature is m. Here, along with the proof of this conjecture, the form of the new conserved quantities is also presented. For the illustration of the theorem, an example of conformally flat spacetime is constructed which also demonstrates that the conformal Killing vectors (CKVs), in general, are not symmetries of the Lagrangian for the geodesic equation.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Tooba Feroze, Ibrar Hussain,