Inflation in a renormalizable cosmological model and the cosmic no hair conjecture

Mathematics – Logic

Scientific paper

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Conformal Mapping, Cosmology, Models, Coupling, Einstein Equations, Gravitation, Hilbert Space, Inflating, Scalars

Scientific paper

The possibility of having inflation in a renormalizable cosmological model is investigated. The Cosmic No Hair Conjecture is proved to hold for all Bianchi types except Bianchi IX. By the use of a conformal transformation on the metric it is shown that these models are equivalent to the ones described by the Einstein-Hilbert action for gravity minimally coupled to a set of scalar fields with inflationary potentials. Henceforth, it is proven that inflationary solutions behave as attractors in solution space, making it a natural event in the evolution of such models.

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