The Weyl tensor and equilibrium configurations of self-gravitating fluids

Details The Weyl tensor and equilibrium configurations of self-gravitating fluids The Weyl tensor and equilibrium configurations of self-gravitating fluids

2002-10-23

arxiv.org/abs/gr-qc/0210082v1

Gen.Rel.Grav.35:437-448,2003

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages Latex, to appear in Gen.Rel.Grav

Scientific paper

10.1023/A:1022373900961

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).

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