“…In the following for the Hubble constant we adopt the value H 0 = 70 km/s/Mpc = 2.273 × 10 −18 s −1 [31], giving for the critical density a value of ρ c,0 = 9.248 × 10 −30 g/cm 3 . For Ω DM,0 Ω b,0 , Ω rad,0 , and Ω Λ we adopt the numerical values Ω DM,0 = 0.228, Ω b,0 = 0.0456, Ω rad,0 = 8.24 × 10 −5 , and Ω Λ = 0.726 [31], respectively. By taking into account that ρ tr a 3 tr ≈ ρ c,0 , it follows that Ω DM,tr ≈ Ω DM,0 /a 3 tr , and the evolution equation of the scale factor can be written as…”