On the relation between the isotropy of the CMB and the geometry of the universe

Details On the relation between the isotropy of the CMB and the geometry of the universe On the relation between the isotropy of the CMB and the geometry of the universe

2009-03-17

arxiv.org/abs/0903.3013v2

Phys.Rev.D79:123522,2009

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

5 pages. v2: Corrected an error in the proof, added references and clarifications

Scientific paper

10.1103/PhysRevD.79.123522

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 observations do not imply that the universe would be nearly homogeneous and isotropic.

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