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doi: 10.1063/1.4813475
handle: 2445/46867
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.
Relativitat general (Física), Lie algebras, Física matemàtica, Mathematical physics, General relativity (Physics), Àlgebres de Lie, Simetria (Física), Symmetry (Physics), Àlgebra tensorial, Tensor algebra
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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