Inflation can solve the rotation problem

Mathematics

Scientific paper

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Cosmology, Rotation, Universe, Angular Velocity, Flux Density, Mach Inertia Principle, Mathematical Models

Scientific paper

The problem of the slow rotation of the universe is addressed by introducing a dimensionless measure of the angular velocity in the early universe, which must have been less than 5 x 10 to the -28th in order to be compatible with present-day upper limits on rotation. It is pointed out that an inflationary episode in the very early universe could solve the rotation problem and thus make the Mach principle redundant as an explanation. The difficulties posed by the rotation-induced shear for the inflationary explanation are avoided if the inflation occurred at the Planck epoch.

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