The Weyl tensor and equilibrium configurations of self-gravitating fluids
General Relativity and Quantum Cosmology
2016-08-31 v1 Astrophysics
Abstract
It is shown that (except for two well defined cases), the necessary and sufficient condition for any spherically symmetric distribution of fluid to leave the state of equilibrium (or quasi-equilibrium), is that the Weyl tensor changes with respect to its value in the state of equilibrium (or quasi-equilibrium).
Keywords
Cite
@article{arxiv.gr-qc/0210082,
title = {The Weyl tensor and equilibrium configurations of self-gravitating fluids},
author = {L. Herrera},
journal= {arXiv preprint arXiv:gr-qc/0210082},
year = {2016}
}
Comments
16 pages Latex, to appear in Gen.Rel.Grav