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Zbl 1189.70062
Feroze, Tooba
New conserved quantities for the spaces of different curvatures. (English)
[J] Mod. Phys. Lett. A 25, No. 13, 1107-1114 (2010). ISSN 0217-7323

Summary: It is known that corresponding to each isometry there exists a conserved quantity. It is also known that the Lagrangian of the line element of a space is conserved. Here we investigate the possibility of the existence of ``new" conserved quantities, i.e. other than the Lagrangian and associated with the isometries, for spaces of different curvatures. It is found that there exist new conserved quantities only for the spaces of zero curvature or having a section of zero curvature.

MSC 2000:: *70H33 Symmetries
70H03 Lagrange's equations
70H40 Relativistic dynamics

Keywords: conserved quantities; Noether symmetries; curvatures

Cited in: Zbl 1207.53027

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Zentralblatt MATH Berlin [Germany]