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    • https://phys.libretexts.org/Courses/Chicago_State_University/PH_S_1150%3A_Basic_Astronomy/18%3A_Knowls/18.01%3A_Pop_ups/18.1.01%3A_Math_Exploration_13.2
      When we calculate escape velocity, we set the total energy equal to zero. That is equivalent to setting the curvature term in the Friedmann equation to zero: The Friedmann equation then becomes: \[H^2...When we calculate escape velocity, we set the total energy equal to zero. That is equivalent to setting the curvature term in the Friedmann equation to zero: The Friedmann equation then becomes: H28πGρ3=0 The only two adjustable quantities in the equation now are ρ, the average density of the Universe, and the expansion rate, H. Solving for ρ in terms of H we get: \rho_{crit} = \frac{3H}{8 \pi G} \nonumber

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