Lecture 05: General Relativity - Physics & Astronomy - Northeastern ...

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SpecialRelativityGeneralRelativityNortheasternIllinoisUniversityFriedmann-Robertson-Walker Cosmology[ds 2 = dt 2 − a(t) 2 dr 2 ]1 − kr + 2 r2 dΩ 2CosmologyThe ExpandingUniverseExpansion of theUniverseFriedmann-Robertson-WalkerCosmologyCosmologicalParametersSingleComponentUniversesNextclosedflatopenk = +1k = 0k = −1c○2004, 2007 G. Anderson Physics III – slide 33 / 37
NortheasternIllinoisUniversityCosmological ParametersSpecialRelativityGeneralRelativityCosmologyThe ExpandingUniverseExpansion of theUniverseFriedmann-Robertson-WalkerCosmologyCosmologicalParametersSingleComponentUniversesNextH 0 = ȧaHubble parameterq 0 = −äa H−2 0deceleration parameterλ 1 λ 0⋆⋆t 1 t 0Redshift vs. Expansion1 + z ≡ λ 0= a(t 0)λ 1 a(t 1 )a(t 0 )a(t 1 ) = 1 + H 0(t 0 − t 1 ) + 1 2 (q 0 + 2)H 2 0(t 0 − t 1 ) 2 + . . .c○2004, 2007 G. Anderson Physics III – slide 34 / 37
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