Fig. 1
Normalized radial density profiles of some cases considered in this study given as a function of the unit-free radius θ = rA where A2 = (4πGρc) /K. The filled symbol marks the condition for a critically stable sphere where θcrit ≈ 6.451 and ρc/ρ(θcrit) ≈ 14.04. The curves of the analytical density profile given by Eq. (1) are labeled with their asymptotic behavior for 
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