(Non)-Euclidean Geometry - University of Arizonaeldora.as.arizona.edu/~yshirley/Arizona/AST250/Cosmology... · 2014. 10. 21. · (Non)-Euclidean Geometry . Differential Geometry Negative

(Non)-Euclidean Geometry

Differential Geometry

Negative curvature

Flat (Euclidean)

Positive curvature

Homogeneity & Isotropy

Large Scale Structure on the Sky

Isotropy and Homogeneity of CMB

ΔT/T < 10-5

Evolution of Scale Factor

Ω = 0 Ω = 1 Ω = 2

Ωm = 0.27 ΩΛ = 0.73 ΩΛ = 1 Steady State

Ned Wright

R(t)

Measuring Cosmological Distances

Ned Wright