Classes of non-minimally coupled scalar fields in spatially curved FRW spacetimes

Abstract

In this work we perform a dynamical analysis of a broad class of non-minimally coupled real scalar fields in the Friedmann-Robertson-Walker (FRW) spacetime framework. The first part of our study concerns the dynamics of an unspecified positive potential in a spatially curved FRW spacetime, for which we define a new set of dimensionless variables and a new evolution parameter. In the framework of this general setup we have recognized several general features of the system, like symmetries, invariant subsets and critical points, and provide their cosmological interpretation. The second part of our work focuses on flat FRW cases for which the tracker parameter is constant, i.e. we examine specific classes of potentials. After analyzing these cases dynamically, we discuss their physical interpretation.

13 pages, 7 figures

References in corpus (7)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Dynamics of dark energy
• The Standard Model Higgs boson as the inflaton
• The Unity of Cosmological Attractors
• Quintessence and phantom cosmology with non-minimal derivative coupling
• Global stability analysis for cosmological models with non-minimally coupled scalar fields
• Uniting cosmological epochs through the twister solution in cosmology with non-minimal coupling

Cited by in corpus (2)

• Dynamics of nonminimally coupled scalar field models with generic potentials in FLRW background
• Dynamical analysis approaches in spatially curved FRW spacetimes