2/3 We consider a matter dominated expanding Universe, which expands by the scale factor a(t) Hot (7) do where do is the

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2 3 We Consider A Matter Dominated Expanding Universe Which Expands By The Scale Factor A T Hot 7 Do Where Do Is The 1 (56.93 KiB) Viewed 49 times

2/3 We consider a matter dominated expanding Universe, which expands by the scale factor a(t) Hot (7) do where do is the scale factor in the current epoch (defined as ao = 1) and He is the Hubble parameter in the current epoch. The matter content in the Universe and the scale factor are related through the first Friedmann equation à? 87G ke? Ac? a2 (8) where G is the gravitational constant, c is the speed of light, p is the matter density in the Universe, k is the spatial curvature parameter and A is the cosmological constant. The increasing scale factor implicitly considers the cosmological constant, so we can set A = 0. The observed curvature of the Universe is flat, so k = 0. Calculate the time dependence of the matter density plt) and the time of the current epoch to, expressed in terms of the Hubble parameter in the current epoch. + 3 3