The Standard Dust Models (Λ=0)
Dynamics: using the previous equations, we can rewrite eq.
7-18:
And in the limit of large values of R, we get:
This is easy to interpret.
When Ω0 < 1, universe is open, hyperbolic, and expands to infinity
with finite velocity.
When Ω0 > 1, universe is closed, spherical, and eventually collapse
after reaching a maximum size after a time: