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http://hdl.handle.net/2445/46867
Title: | Collineations of a symmetric 2-covariant tensor: Ricci collineations |
Author: | Llosa, Josep |
Keywords: | Àlgebra tensorial Relativitat general (Física) Simetria (Física) Física matemàtica Àlgebres de Lie Tensor algebra General relativity (Physics) Symmetry (Physics) Mathematical physics Lie algebras |
Issue Date: | 17-Jul-2013 |
Publisher: | American Institute of Physics |
Abstract: | The infinitesimal transformations that leave invariant a two-covariant symmetric tensor are studied. The interest of these symmetry transformations lays in the fact that this class of tensors includes the energy-momentum and Ricci tensors. We find that in most cases the class of infinitesimal generators of these transformations is a finite dimensional Lie algebra, but in some cases exhibiting a higher degree of degeneracy, this class is infinite dimensional and may fail to be a Lie algebra. As an application, we study the Ricci collineations of a type B warped spacetime. |
Note: | Reproducció del document publicat a: http://dx.doi.org/10.1063/1.4813475 |
It is part of: | Journal of Mathematical Physics, 2013, vol. 54, num. 7, p. 072501-1-072501-13 |
URI: | http://hdl.handle.net/2445/46867 |
Related resource: | http://dx.doi.org/10.1063/1.4813475 |
ISSN: | 0022-2488 |
Appears in Collections: | Articles publicats en revistes (Física de la Matèria Condensada) |
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627643.pdf | 470.6 kB | Adobe PDF | View/Open |
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