Friedmann Equation. With this assumption there becomes a connection between the geometry of space and the fate of the universe. It indicates the future fate of the universe.
Hence it s important to us to derive and learn the friedmann equation. For now to explore some consequences of the friedmann equation we assume ρ a 3. If you want to know where the universe came from and where it s headed all.
They were first derived by alexander friedmann in 1922 1 from einstein s field equations of gravitation for the friedmann lemaître robertson walker metric and a fluid with a given mass density and pressure.
This is a model that most cosmologists over 25 years ago thought was probably an excellent approximation to reality. It indicates the future fate of the universe. They were first derived by alexander friedmann in 1922 from einstein s field equations of gravitation for the friedmann lemaître robertson walker metric and a perfect fluid with a given mass density ρ displaystyle rho and pressure p displaystyle p. First we derive them in the framework of the general relativity keeping the relativistic expressions as a reference for the rest of the report.