Fig. 10

Critical value of the perturbation amplitude, ηc (upper panel) and corresponding normalized size of the perturbation (lower panel) as a function of the normalized distance
. 3D gravitational energy is used, and thermal support is included for various density profiles. Fluctuations have to be at least several times the local density to be unstable. The low-amplitude perturbations are stabilized by tidal forces or thermal support.
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