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Slides of 5 lectures at XV Brazilian School on Cosmology and ...

Slides of 5 lectures at XV Brazilian School on Cosmology and ...

Slides of 5 lectures at XV Brazilian School on Cosmology and ...

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Tracker soluti<strong>on</strong> limitParameters ǫ i <strong>and</strong> f vi should be restricted by powerspectrum <str<strong>on</strong>g>at</str<strong>on</strong>g> last sc<str<strong>on</strong>g>at</str<strong>on</strong>g>tering, e.g.,( ) ( )δρ δρ= f vi ∼ −10 −6 to − 10 −5ρ ρHi viE.g., f vi ∼ 10 −3 , (δρ/ρ) vi ∼ −10 −3 ; or f vi ∼ −10 −2 ,(δρ/ρ) vi ∼ −10 −4 ; or f vi ∼ 3 × 10 −3 , (δρ/ρ) vi ∼ −3 × 10 −3 .The general soluti<strong>on</strong> possesses a tracking limit,equivalent to the exact soluti<strong>on</strong> with ǫ i = 0, t ǫ = 0, witha v = a v0 t (i.e., voids exp<strong>and</strong> like Milne soluti<strong>on</strong> in t)Tracker reached within 1% by redshift z ∼ 37 forreas<strong>on</strong>able priorsEffectively, there are <strong>on</strong>ly two free parameters15th <str<strong>on</strong>g>Brazilian</str<strong>on</strong>g> <str<strong>on</strong>g>School</str<strong>on</strong>g> <strong>on</strong> <strong>Cosmology</strong> <strong>and</strong> Gravit<str<strong>on</strong>g>at</str<strong>on</strong>g>i<strong>on</strong>, August 2012 – p.59/143

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