Friedmann Equation Solutions. 4 so the two sides of equation 2 are indeed equal confirming that this parametric solution given as a θ and t θ is indeed a solution of friedmann s equation. Rearranging a little we have a set of differential equations known as the friedmann equations a a 1 3λ 4π 3 λ 4π 3 ρ 3p a a 2 1 3λ 8π 3 ρ ka 2.
ð2þ the friedmann acceleration equation is a a 4pg 3 qþ 3p c2 ð3þ while the fluid equation is q þ3 a a p c2 0. Therefore tmax can be found when the ˇ. The friedmann equations can be solved exactly in presence of a perfect fluid with equation of state p w ρ c 2 displaystyle p w rho c 2 where p displaystyle p is the pressure ρ displaystyle rho is the mass density of the fluid in the comoving frame and w displaystyle w is some constant.
The friedmann equations can be solved exactly in presence of a perfect fluid with equation of state p w ρ c 2 displaystyle p w rho c 2 where p displaystyle p is the pressure ρ displaystyle rho is the mass density of the fluid in the comoving frame and w displaystyle w is some constant.
A explain why a universe with present. A the maximum value of a occurs at θ π and is amax 8πgǫ0r2 0 3c4. The friedmann equations can be solved exactly in presence of a perfect fluid with equation of state p w ρ c 2 displaystyle p w rho c 2 where p displaystyle p is the pressure ρ displaystyle rho is the mass density of the fluid in the comoving frame and w displaystyle w is some constant. Equations to the universe even though general relativity is a local theory as it uses di erential geometry instead of di erential calculus.
