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

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NortheasternIllinoisUniversitySingle Component UniversesSpecialRelativityGeneralRelativityCosmologyThe ExpandingUniverseExpansion of theUniverseFriedmann-Robertson-WalkerCosmologyCosmologicalParametersSingleComponentUniversesNexta(t)9876543210Λ-2 -1 0 1 2 3 4 5 6 7 8H 0 (t − t 0 )curvature (empty)matterradiationFriedmann Equation:H 2 =(ȧa) 2= 8πG3 ρ − ka−2c○2004, 2007 G. Anderson Physics III – slide 35 / 37
NortheasternIllinoisUniversitySingle Component Universes IISpecialRelativityGeneralRelativityCosmologyThe ExpandingUniverseExpansion of theUniverseFriedmann-Robertson-WalkerCosmologyCosmologicalParametersSingleComponentUniversesNextρ ∝ a(t) ∝ t 0 äa −4 t 1/2 1 2 H−1 0 < 0 radiationa −3 t 2/3 2 3 H−1 0 < 0 mattera −2 , 0 t H −10 = 0 curvaturea 0 e Ht > 0 vacuumc○2004, 2007 G. Anderson Physics III – slide 36 / 37
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