Two scalar fields inflation from scale-invariant gravity with modified measure

Abstract

A new class of gravity-matter model defined with an independent non-Riemannian volume form is studied, in the second order formalism. The action has a global scale invariance symmetry, which can be broken by the equation of motion of the measure fields. By a conformal transformation the theory transforms into a theory which governed by two independent scalar fields and a specific potential. When the scale invariance symmetry is not broken also in the equations of motion, only one field appear in the effective potential. This effective potential has a flat region which is responsible for the inflation, and it ends with a minimum, which is responsible for the present vacuum energy. In the general case, with a spontaneous symmetry breaking of the scale symmetry, one scalar field is responsible for the inflation and the other could be responsible for the particle creation. The first field (inflaton) can slowly roll, while the second field (curvaton) is more strongly coupled to the potential. The number of e-folds for both models is also dissuaded and could be constraint in the future.

arXiv commentThe accepted version in CQG

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• Dynamics of Chiral Cosmology
• Cosmological constraints on the Multi Scalar Field Dark Matter model
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• Unified Emergence of Energy Scales and Cosmic Inflation
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• Dynamically Generated Inflationary Lambda-CDM
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• Inflation with Massive Spin-2 Ghosts
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• Dynamical system analysis in multiscalar-torsion cosmology
• Dynamically induced spin-2 mass in a Weyl-invariant framework
• Perturbations and stability conditions of k-essence and kinetic gravity braiding models in two-field measure theory