(18) The entire sphere will collapse, δb < 0, if 2Λ b0/3 < r g/b2 0, which gives b0 ≤ ( 3rg 2Λ ) 1/ 3

(16) For small τ (near the initial time τ = 0), putting b(τ) = b0 + δb(τ), δb ≪ b0 (17) into (16), omitting terms of higher order in a small quantity δb gives ˙b2 = ( 2 3Λb0 − r

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Gravitational collapse in the expanding Universe

gr-qc · 2025-01-11 · conditional · novelty 2.0

A spherically symmetric dust sphere with mass M can collapse only if its radius is at most (GM/H^2)^(1/3).

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Gravitational collapse in the expanding Universe gr-qc · 2025-01-11 · conditional · none · ref 2
A spherically symmetric dust sphere with mass M can collapse only if its radius is at most (GM/H^2)^(1/3).

(18) The entire sphere will collapse, δb < 0, if 2Λ b0/3 < r g/b2 0, which gives b0 ≤ ( 3rg 2Λ ) 1/ 3

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