Cosmological solutions of the Einstein-Friedmann equations ...

Cosmology
Cosmological solutions of the Einstein-Friedmann equations
Summary of Friedmann’s equations
Ingredients are the Einstein equations of GRT:
Rµν − 1
2 R gµν − Λ gµν = κ Tµν ,
with the cosmic ideal fluid energy-momentum tensor
T µν = (ρ + p) (t) u µ u ν − p(t) g µν .
The cosmological constant term Λ gµν nowadays is usually included as part of Tµν
as an additional contribution to the energy density
ρ(t) → ρ(t) + ρΛ ; ρΛ = Λ
κ ,
c○ 2009, F. Jegerlehner ≪❘ Lect. 7 ❘≫ 439