The most common mechanisms leading to in ation are based on models of gravity minimally coupled to a scalar field rolling on a suitable potential V. We discuss such a model defined by the action I = ∫√-g p [R -2 (ϕ)2 )] d4x, in order to find exact general isotropic and homogeneous cosmological solutions displaying an in ationary behavior at early times and a power-law expansion at late times. We also study the effect of the inclusion of matter (in the form of a perfect uid): in this case, we do not find exact solutions because of the non-integrability of the field equations, but we can investigate their global properties (and hence their stability) by means of methods of the theory of dynamical systems.

On Inflationary cosmological models

PINTUS, NICOLA
2016-03-17

Abstract

The most common mechanisms leading to in ation are based on models of gravity minimally coupled to a scalar field rolling on a suitable potential V. We discuss such a model defined by the action I = ∫√-g p [R -2 (ϕ)2 )] d4x, in order to find exact general isotropic and homogeneous cosmological solutions displaying an in ationary behavior at early times and a power-law expansion at late times. We also study the effect of the inclusion of matter (in the form of a perfect uid): in this case, we do not find exact solutions because of the non-integrability of the field equations, but we can investigate their global properties (and hence their stability) by means of methods of the theory of dynamical systems.
17-mar-2016
cosmologia
cosmology
inflation
inflazione
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11584/266648
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