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- Homework Statement
- I have to plot density parameters of radiation, matter and vacuum with initial or current values ##1*10^-4, 0.3,0.7## respectively against ##log(a(t))## with values a=##10^-35 to 10^35## in any plotting software.

- Relevant Equations
- 1)##\rho_i=\rho_io *a^{-n}_i## (density evolves as power law) where n_i=3,4,0 for matter, radiation and vacuum respectively.

2) Friedmann equation(first kind)

3) Space time and geometry by Sean Caroll

I am trying to develop a relation between scale factor (a(t)) and ##\Omega##. The relation came out to be evolve as ##\Omega_i=\Omega_io * a^{-n}## but my graph isn't right it's giving values of ##a(t)## to higher extent.

I consulted my instructor he only added that I should include ##H_o## somewhere.

I am confused about which relation I should get to plot these in a right way.

I consulted my instructor he only added that I should include ##H_o## somewhere.

I am confused about which relation I should get to plot these in a right way.

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