The Friedmann equation.
This is the basic equation of cosmology, and its solution tells how universe will evolve on large scales. We can derive it using Newtonian approximation, if we accept two results from General Relativity: First, there is, so called, Birkhoff's ,theorem, which says that, for a spherically symmetric system, the force due to gravity at some radius is determined only by the mass interior to this radius. And also, the energy contributes to gravitational mass density. So we need to add them up together. Imagine a sphere with a mean density of row, radius of R, acceleration to a particle in surface, which is the second derivative of the radius, is given by formula. Ȑ = - 4 л G ϱ R 3 Now, if the density changes, it c...