Universe Friedmann Equation. 2 3 friedmann equations let us consider the dynamics of the frw universe that determines time evolution fo the scale factor a t 2 2. .
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In this equation h is the hubble parameter expansion rate ρ is the average density of matter and energy in the universe s is the scale factor and k is a number that describes the overall curvature of the universe. Is the cosmological constant possibly caused by vacuum energy g is the gravitational constant k 1 0 1 according to whether the shape of the universe is hyperspherical flat or hyperbolic respectively a is the scale factor and c is the speed of light. This gives the generic metric ds2 dt2 a t 2 dx2 f k x 2x2dω2 4 8 the function a t isthescalefactorthatdependsontimeandwhichwilldescribe the.
Dv dt hv 0 2 32 which reads the cosmological redshift as v 1 a.
The equations for negative. Expanding universe first general relativistic models by einstein predicted a contracting universe 1917 introduction of cosmological constant by einstein 1922 the friedmann equation predicted an expanding universe 1928 georges lemaitre independently concluded the same lemaitre was the first to propose a primeval atom theory later known. We allow the scale factor and the curvature of therw space to vary with time. Dv dt hv 0 2 32 which reads the cosmological redshift as v 1 a.
