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The Weyl tensor and equilibrium configurations of self-gravitating fluids

L. Herrera
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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).

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L. Herrera. 2002-10-23. The Weyl tensor and equilibrium configurations of self-gravitating fluids. https://doi.org/10.1023/a%3A1022373900961

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