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

Compute the horizon of the universe as a function of [tex]\Omega[/tex]_{m}in a flat universe with both matter and a cosmological constant but no radiation.

2. Relevant equations

Event horizon distance

r = a(t)c [tex]\int_0^tcdt'/a(t')[/tex]

3. The attempt at a solution

No idea how i'm going to be able to transform that integral into something I can do,

Using the FRW equation you can get H^{2}= [tex]\Lambda/ 3([/tex][tex]\Omega[/tex]_{m}-1)

possibly using H = (da/dt)/a thus dt = da/aH ?

and then if you do substitute for an integral in a would the limits be 0 to 1 as we set a = 1 at present or 0 to a?

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# Homework Help: Event Horizon of Universe

Can you offer guidance or do you also need help?

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