First Friedmann equation in the dimensionless scale factor: $H^2 = (\dot a/a)^2 = \frac{8\pi G}{3}\big[\rho + \frac{\rho_c-\rho_0}{a^2}\big]$

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First Friedmann equation in the dimensionless scale factor: $H^2 = (\dot a/a)^2 = \frac{8\pi G}{3}\big[\rho + \frac{\rho_c-\rho_0}{a^2}\big]$ · Prove2Me