Noether symmetries and conserved quantities for spaces with a section of zero curvature

JOURNAL OF GEOMETRY AND PHYSICS

卷:61

Article

Feroze, Tooba¹  Hussain, Ibrar² 

[1] Natl Univ Sci & Technol, Ctr Adv Math & Phys, Islamabad, Pakistan

[2] Natl Univ Sci & Technol, Sch Elect Engn & Comp Sci, Islamabad, Pakistan

关键词: Noether symmetries;    Conserved quantities;    Conformally flat spacetimes;   

DOI  :  10.1016/j.geomphys.2010.11.015

来源: Elsevier

【 摘 要 】

In an earlier paper (Feroze, 2010[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. (C) 2010 Elsevier B.V. All rights reserved.

【 授权许可】

Free