I am having a trouble finding relationship between 'a' and 't' by integrating friedmann equation in a multi-component universe.(adsbygoogle = window.adsbygoogle || []).push({});

It would be very helpful if you can help me with just

matter-curvature only universe and matter-lambda only universe.

The two integrals looks like following.

Matter-curvature only:

[tex]H_0 t = ∫_0^a \frac{da}{[Ω_0/a + (1-Ω_0)]^{1/2}} [/tex]

Matter-Lambda only:

[tex]H_0 t = ∫_0^a \frac{da}{[Ω_0/a + (1-Ω_0)a^2]^{1/2}} [/tex]

Thank you for your help.

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# Integrating Friedmann Equation of Multi-component universe respect to a and t

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