Matter and Ricci collineations
General Relativity and Quantum Cosmology
2017-11-22 v1 Mathematical Physics
math.MP
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 also, in some cases exhibiting a higher degree of degeneracy, this class is infinite dimensional and may fail to be a Lie algebra.
Cite
@article{arxiv.1302.3048,
title = {Matter and Ricci collineations},
author = {Josep Llosa},
journal= {arXiv preprint arXiv:1302.3048},
year = {2017}
}