The Weyl tensor and equilibrium configurations of self-gravitating fluids
classification
🌀 gr-qc
astro-ph
keywords
equilibriumquasi-equilibriumstatetensorweylcaseschangescondition
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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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