Non-minimally Coupled Cosmological Models with the Higgs-like Potentials and Negative Cosmological Constant

Abstract

We study dynamics of non-minimally coupled scalar field cosmological models with Higgs-like potentials and a negative cosmological constant. In these models the inflationary stage of the Universe evolution changes into a quasi-cyclic stage of the Universe evolution with oscillation behaviour of the Hubble parameter from positive to negative values. Depending on the initial conditions the Hubble parameter can perform either one or several cycles before to become negative forever.

22 pages, 6 figures, v4:Section 2 expanded, references added, accepted for publication in Class. Quant. Grav

References in corpus (19)

• The Standard Model Higgs boson as the inflaton
• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• Reheating in Inflationary Cosmology: Theory and Applications
• The (pseudo)issue of the conformal frame revisited
• Conformal Transformations with Multiple Scalar Fields
• The Higgs field as an inflaton
• Physical non-equivalence of the Jordan and Einstein frames
• Cosmological dynamics of non-minimally coupled scalar field system and its late time cosmic relevance
• Higgs-Dilaton Cosmology: an effective field theory approach
• Theory of gravitation theories: a no-progress report
• Planck 2013 results support the cyclic universe
• Light inflaton after LHC8 and WMAP9 results
• Diffusing non-local inflation: Solving the field equations as an initial value problem
• On the Null Energy Condition and Cosmology
• Stretching the Inflaton Potential with Kinetic Energy
• Non-minimal Higgs Inflation and Frame Dependence in Cosmology
• Reconstruction of Scalar Potentials in Modified Gravity Models
• Gravitational wave astronomy: the definitive test for the "Einstein frame versus Jordan frame" controversy
• Cosmology of the closed string tachyon

Cited by in corpus (19)

• $Om$ diagnostic applied to scalar field models and slowing down of cosmic acceleration
• Integrable cosmological models with non-minimally coupled scalar fields
• Transformations between Jordan and Einstein frames: Bounces, antigravity, and crossing singularities
• Renormalization-group inflationary scalar electrodynamics and SU(5) scenarios confronted with Planck2013 and BICEP2 results
• Global stability analysis for cosmological models with non-minimally coupled scalar fields
• Some remarks about non-minimally coupled scalar field models
• Possible evolution of a bouncing universe in cosmological models with non-minimally coupled scalar fields
• A Complete Model of Cosmological Evolution of Scalar Field with Higgs Potential and Euclidian Cycles
• Higher Order Lagrangians inspired by the Pais-Uhlenbeck Oscillator and their cosmological applications
• Global Portraits of Nonminimal Inflation: Metric and Palatini
• Loop quantum cosmological dynamics of scalar-tensor theory in the Jordan frame
• Qualitative and Numerical Analysis of a Cosmological Model Based on an Asymmetric Scalar Doublet with Minimal connections. IV. Numerical Modeling and Types of Behavior of the Model
• Global Portraits of Inflation in Nonsingular Variables
• Global portraits of nonminimal inflation
• Induced gravity models with exact bounce solutions
• New Integrable Chiral Cosmological Models with Two Scalar Fields
• Integrable cosmological models with non-minimal coupling and bounce solutions
• $f(R,\mathcal{G})$-cosmological dynamics in the FLRW background
• A note on the arrow of time in nonminimally coupled scalar field FRW cosmology