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Solution of Friedmann equation w/ Cosmological Constant

  1. Sep 29, 2008 #1

    nicksauce

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    1. The problem statement, all variables and given/known data
    Solve for the age of the universe as a function of scale factor in a cosmology with [itex]\Omega_{M}=0.3[/itex], [itex]\Omega_{\Lambda}[/itex]=0.7.


    2. Relevant equations



    3. The attempt at a solution
    [tex](\frac{\dot{a}}{a})^2=H_0^2(0.3a^{-3}+0.7)[/tex]

    [tex]\frac{da}{a\sqrt{0.3a^{-3}+0.7}}=H_0dt[/tex]

    At this point, Maple seems unable to do this integral, and I am stuck. Any tips?


    Errr... Nevermind, I got it to work eventually.
     
    Last edited: Sep 29, 2008
  2. jcsd
  3. Sep 30, 2008 #2

    CompuChip

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    Would you mind sharing? Some people may find it useful!
     
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