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Collineations of a symmetric 2-covariant tensor: Ricci collineations

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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.

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(c) American Institute of Physics , 2013

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Articles publicats en revistes (Física de la Matèria Condensada)

# metadata.dc.title[].value
Collineations of a symmetric 2-covariant tensor: Ricci collineations