Cosmological solutions of the Einstein-Friedmann equations ...
Cosmological solutions of the Einstein-Friedmann equations ...
Cosmological solutions of the Einstein-Friedmann equations ...
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Cosmology<br />
The conclusion <strong>of</strong> <strong>the</strong> above discussion: provided Λ = 0 and p = 0, we may<br />
determine <strong>the</strong> age and <strong>the</strong> curvature <strong>of</strong> <strong>the</strong> universe by evaluating <strong>the</strong> observable<br />
relations at t = t0. Since, in principle, we can determine H0 and ρ0 independently,<br />
we can find whe<strong>the</strong>r k = 0, +1 or − 1. The density ρEdS for k = 0, shows up as <strong>the</strong><br />
critical density. Generally,<br />
ρ(t) = ρEdS(t) · 2 q(t)<br />
such that<br />
ρ0 > ρ0 EdS ✄ k = 1<br />
Thus:<br />
ρ0 < ρ0 EdS ✄ k = −1<br />
● Lot <strong>of</strong> matter – space closes under gravity, gravity wins.<br />
● Little matter – space is open and matter spreads forever.<br />
i.e, ei<strong>the</strong>r confinement or asymptotic freedom<br />
c○ 2009, F. Jegerlehner ≪❘ Lect. 7 ❘≫ 455