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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:
It is part of: Journal of Mathematical Physics, 2013, vol. 54, num. 7, p. 072501-1-072501-13
Related resource:
ISSN: 0022-2488
Appears in Collections:Articles publicats en revistes (Física de la Matèria Condensada)

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