Past exam of the mathematics course of the University of Cambridge 2001 iii Paper 41 2 iii Solution Created 2026-10-03 Updated 2026-10-14
In an Einstein-de Sitter universe, and . The Friedmann equation givesThis is an Euler differential equation. Substitution of gives , namely . The Einstein-de Sitter density-growth modes are thereforeThe linear growth factor for the growing mode is proportional to , rather than an exponential in cosmic time. These expressions apply while the density contrast is small enough for linear cosmological density perturbations.