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Cheetox
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Homework Statement
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.
Homework Equations
Event horizon distance
r = a(t)c [tex]\int_0^tcdt'/a(t')[/tex]
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 H2 = [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?