Evoluzione perturbazioni nel modello standard del Big Bang Lezioni 14-15 example, if Ω0 = 1, the increase is a factor of 103 , as expected from (11.37). In the case Ω0 = 0.1, the amplitudes of the fluctuations grow as ∆ ∝ a over the range of Crescita perturbazioni da z=1000 Fig. 11.4. The growth of density perturbations over the range of scale factors a = 10−3 to 1 A. Marconi Cosmologia (2012/2013) 2 Crescita perturbazioni da z=30 Ω0 H02 Ω0 H02 c2 2 2 ȧ = + ΩΛ a H0 − 2 = + ΩΛ a2 H02 − κc2 . a # a 2 (11.57) Δ=10-3 per a=10-3 perturbations over the range of scale factors a = 1/30 to 1 A. MarconiFig. 11.5. The growth of density Cosmologia (2012/2013) 3 Crescita vel. peculiari da z=1000 330 11 The Evolution of Perturbations in the Standard Big Bang ~(a Ω0)1/2 A. Marconi Cosmologia (2012/2013) 4 Crescita vel. peculiari da z=1000 ~(a Ω0)1/2 A. Marconi Cosmologia (2012/2013) Fig. 11.6a,b. The growth of the peculiar velocities over the range of scale factors a = 10−3 5