Relation between the isotropy of the CMB and the geometry of the universe

Syksy Räsänen
2009 Physical Review D  
The near-isotropy of the cosmic microwave background (CMB) is considered to be the strongest indication for the homogeneity and isotropy of the universe, a cornerstone of most cosmological analysis. We derive new theorems which extend the Ehlers-Geren-Sachs result that an isotropic CMB implies that the universe is either stationary or homogeneous and isotropic, and its generalisation to the almost isotropic case. We discuss why the theorems do not apply to the real universe, and why the CMB
more » ... rvations do not imply that the universe would be nearly homogeneous and isotropic.
doi:10.1103/physrevd.79.123522 fatcat:6h6et4acwvg57nkrihga7zq7tu