Expanding shearfree spatially homogeneous universes with a nonsynchronous time coordinate and anisotropy of the universe

Mathematics – Mathematical Physics

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The apparent isotropy of the microwave background radiation on all angular scales and regions thus far observed is usually accepted as evidence of the isotropy of the universe. Current applications of the Einstein theory of gravitation in cosmology couples all rotation or peculiar velocity to anisotropy in the background radiation. Rotation in particular is coupled to shear. These are based on a number of results that apply to spatially homogeneous cosmologies with a synchronous time coordinate. While the models allow the past of our universe to be rather interesting, they constrain the present to be quite boring. We introduce a nonsynchronous time coordinate and show that the present could allow more interesting fluid motions, including rotation and peculiar velocity in spite of the microwave background's isotropy. We use the formalism to construct rotating Friedman universes and study observations in them. Almost all other cosmological data are consistent with a rotation of the universe.

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