Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1125.83305
Bokhari, A.H.; Kara, A.H.; Kashif, A.R.; Zaman, F.D.
Noether symmetries versus Killing vectors and isometries of spacetimes. (English)
[J] Int. J. Theor. Phys. 45, No. 6, 1063-1073 (2006). ISSN 0020-7748; ISSN 1572-9575/e

Summary: 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 symmetries will form a subalgebra.

MSC 2000:: *83C20 Classes of solutions of equations in general relativity

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]