Abstract
We describe the departure from equilibrium of matter distributions representing sources for a class of Weyl metric. It is shown that, for extremely high gravitational fields, slight deviations from spherical symmetry may weaken its tendency to a catastrophic collapse. For critical values of surface gravitational potential, in contrast with the exactly spherically symmetric case, the speed of entering the collapse regime decreases substantially, at least for specific cases.
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Herrera, L., Di Prisco, A. & Martínez, J. Non-Spherical Sources of Strong Gravitational Fields Out of Hydrostatic Equilibrium. Astrophysics and Space Science 277, 447–459 (2001). https://doi.org/10.1023/A:1012592222758
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DOI: https://doi.org/10.1023/A:1012592222758