Friedmann Acceleration Equation. Friedmann 1888 1925 the man who made the universe expand soviet mathematician and meteorologist most famous for contributions to cosmology first person to mathematically predict an expanding universe 1922 derived from einstein s general relativity einstein initially dismissed friedmann s equations. Go to print article.
The friedmann equations are a set of equations in physical cosmology that govern the expansion of space in homogeneous and isotropic models of the universe within the context of general relativity. In the previous section we have talked about distances so like in any system in classical mechanics we need a reference point and a reference frame to de ne the dis tances. Equation 3 is usually called first friedmann equation or just simply friedmann equation whereas equation 4 is called second friedmann equation or acceleration equation.
Take the time derivative 2 a a 8πg 3c2 ǫa 2 2ǫaa divide by 2 aa a a 4πg 3c2 ǫ a a 2ǫ.
The first friedmann equation describes the rate at which cosmological expansion accelerates or decelerates. C 3h 0 2 8p. In the previous section we have talked about distances so like in any system in classical mechanics we need a reference point and a reference frame to de ne the dis tances. It expresses the basic idea of the field equations which is that non tidal curvature left hand side is caused by the matter that is present locally right hand side.