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Journal of Mathematical Physics
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Journal of Mathematical Physics
Article . 2013 . Peer-reviewed
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Collineations of a symmetric 2-covariant tensor: Ricci collineations

Authors: Llosa, Josep;

Collineations of a symmetric 2-covariant tensor: Ricci collineations

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.

Country
Spain
Keywords

Relativitat general (Física), Lie algebras, Física matemàtica, Mathematical physics, General relativity (Physics), Àlgebres de Lie, Simetria (Física), Symmetry (Physics), Àlgebra tensorial, Tensor algebra

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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