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Astro 321 Set 1: FRW Cosmology - Wayne Hu's Tutorials

Astro 321 Set 1: FRW Cosmology - Wayne Hu's Tutorials

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Hubble Parameter<br />

• Useful to define the expansion rate or Hubble parameter<br />

H(t) ≡ 1<br />

a<br />

da<br />

dt<br />

= d ln a<br />

dt<br />

fractional change in the scale factor per unit time - ln a = N is also<br />

known as the e-folds of the expansion<br />

• Cosmic time becomes<br />

t =<br />

<br />

dt =<br />

• Conformal time becomes<br />

<br />

dt<br />

η =<br />

a =<br />

d ln a<br />

H(a)<br />

d ln a<br />

aH(a)

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