 Integral linear growth factor in a matter-Lambda universe

ID: integral-linear-growth-factor-in-a-matter-lambda-universe

The growing solution of the matter perturbation equation in a spatially flat matter-plus-cosmological-constant universe is

D_{+} (a) = \frac{5}{2} Ω_{m, 0} H_{0}^{2} H (a) \int_{0}^{a} \frac{d a ^{'}}{a ^{'3} H ( a ^{'} ) ^{3}},

normalized so that

D_{+} (a) \sim a

during early matter domination.

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