Astro 321 Set 1: FRW Cosmology - Wayne Hu's Tutorials
Astro 321 Set 1: FRW Cosmology - Wayne Hu's Tutorials
Astro 321 Set 1: FRW Cosmology - Wayne Hu's Tutorials
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Beyond Hubble’s Law<br />
• Using SN as a relative indicator (independent of absolute<br />
magnitude), comparison of low and high z gives<br />
<br />
H0D(z) = dz H0<br />
H<br />
more distant implies that H(z) not increasing at expect rate, i.e. is<br />
more constant<br />
• Take the limiting case where H(z) is a constant (a.k.a. de Sitter<br />
expansion<br />
H = 1 da<br />
= const<br />
a dt<br />
dH 1 d<br />
=<br />
dt a<br />
2a dt2 − H2 = 0<br />
1 d<br />
a<br />
2a dt2 = H2 > 0
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