- #1
meteor
- 940
- 0
Please show me how to solve this paradox
cos the Friedmann equation is:
[tex]
H^{2}= \frac{8*pi*G*rho}{3}-\frac{k*c^{2}}{R^{2}}
[/tex]
but the concordance model says that k=0, so we can eliminate the last term of the equation
then we isolate rho, the density of energy:
[tex]
rho=\frac{3*H^{2}}{8*pi*G}
[/tex]
but however, the formula for the critical energy density is
[tex]
rho_{crit}=\frac{3*H^2*c^2}{8*pi*G}
[/tex]
but the concordance model says that rho=rhocrit
but you see that the 2 formulae are not equal, there's an extra c2 in the formula for rhocrit
I can't figure where is the mistake
cos the Friedmann equation is:
[tex]
H^{2}= \frac{8*pi*G*rho}{3}-\frac{k*c^{2}}{R^{2}}
[/tex]
but the concordance model says that k=0, so we can eliminate the last term of the equation
then we isolate rho, the density of energy:
[tex]
rho=\frac{3*H^{2}}{8*pi*G}
[/tex]
but however, the formula for the critical energy density is
[tex]
rho_{crit}=\frac{3*H^2*c^2}{8*pi*G}
[/tex]
but the concordance model says that rho=rhocrit
but you see that the 2 formulae are not equal, there's an extra c2 in the formula for rhocrit
I can't figure where is the mistake
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