Assume a flat Friedmann-Robertson-Walker universe, dominated by a fluid with equation of state P = c^2 wρ, where the equation of state parameter w is a constant. a) Calculate ρ(a), the dependence of the energy density ρ on the scale factor a b)Determine the value of the equation of state parameter w that gives rise to a scale factor evolution a(t) ∝ t.

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Assume a flat Friedmann-Robertson-Walker universe, dominated by a fluid with equation of state
P = c^2 wρ, where the equation of state parameter w is a constant.
a) Calculate ρ(a), the dependence of the energy density ρ on the scale factor a

b)Determine the value of the equation of state parameter w that gives rise to a scale factor
evolution a(t) ∝ t.

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