The Einstein universe is one of Friedmann's solutions to Einstein's field equation for dust with density ρ, cosmological constant (Lamda), and radius of curvature Eimstein radius R(E) . It is the only non-trivial static solution to Friedmann's equations. The key idea is that the universe is expanding. Consequently, the universe was denser and hotter in the past. In particular, the Big Bang model suggests that at some moment all matter in the universe was contained in a single point, which is considered the beginning of the universe. The big bang theory does a remarkable job of describing the universe we see today. Despite its successes, the standard big bang theory was too simple to be complete. The Inflation Theory proposes a period of extremely rapid (exponential) expansion of the universe during its first few moments. It was developed around 1980 to explain several puzzles with the standard Big Bang theory, in which the universe expands relatively gradually throughout its history. Discovery of Gravity Waves from the Big Bang is the greatest evidence for the inflation theory.
Although the expansion of the universe can be explained by Friedmann equation, but this equation is not explain the reason of Big Bang. The Friedmann equation also fails to explain the accelerated expansion.