(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Our universe is observed to be flat, with density parameters Ω_{m,0}= 0.3 in non-relativistic matter and Ω_{[itex]\Lambda[/itex],0}= 0.7 in dark energy at the present time. Neglect the contribution from relativistic matter.

At what redshift did the expansion of the universe start to change from deceleration from acceleration?

2. Relevant equations

a(t=change) = 0

a(t=now) = 1 (? is this convention?)

((da/dt) * (1/a))^{2}= H_{0}^{2}E^{2}(z) where E^{2}(z) = Ω_{[itex]\Lambda[/itex],0}+ (1-Ω_{0})(1+z)^{2}+ Ω_{m,0}(1+z)^{3}

z = a^{0}/a(t) -1 where a_{0}denotes the present time

3. The attempt at a solution

First I thought about setting (da/dt)*(1/a) equal to zero and solving the equation for z. However, this gives a redshift of -2.32 which doesn't really make sense as the negative value implies that there is a blueshift (right?)

Upon further thought, I realized that a = 0 means that the lefthand side of the equation should be undefined / go to infinity... so could z be infinity? This doesn't really make sense to me either but it's all I've got.

I can manipulate the other equation I found to also give z=infinity by setting a(t) equal to zero.

I'm sure I'm forgetting some important concept but that's what I've got so far.

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# Homework Help: Astrophysics/Cosmology question - redshift

Can you offer guidance or do you also need help?

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