# Non-minimally coupled cosmological models with the Higgs-like potentials and negative cosmological constant

@article{Arefeva2014NonminimallyCC, title={Non-minimally coupled cosmological models with the Higgs-like potentials and negative cosmological constant}, author={Irina Ya. Aref’eva and N. V. Bulatov and Roman V. Gorbachev and Sergey Vernov}, journal={Classical and Quantum Gravity}, year={2014}, volume={31}, pages={065007} }

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 becoming negative forever.

## 16 Citations

Possible evolution of a bouncing universe in cosmological models with non-minimally coupled scalar fields

- Physics
- 2016

We explore dynamics of cosmological models with bounce solutions evolving on a spatially flat Friedmann-Lemaitre-Robertson-Walker background. We consider cosmological models that contain the…

Interdependence between integrable cosmological models with minimal and non-minimal coupling

- Physics
- 2016

We consider the relation between exact solutions of cosmological models having minimally and non-minimally coupled scalar fields. This is done for a particular class of solvable models which, in the…

Integrable cosmological models with non-minimal coupling and bounce solutions

- Physics
- 2016

We remind the way to obtain integrable models with non-minimally coupled scalar fields. We are interesting to models with bounce solutions and compare bounce solutions in two known integrable models.…

Stable Exact Cosmological Solutions in Induced Gravity Models

- Physics
- 2014

We study dynamics of induced gravity cosmological models with the sixth degree polynomial potentials, that have found using the superpotential method. The important property of these models are…

Some remarks about non-minimally coupled scalar field models

- Physics
- 2014

Several results related to flat Friedmann?Lematre?Robertson?Walker models in the conformal (Einstein) frame of scalar?tensor gravity theories are extended. Scalar fields with arbitrary (positive)…

Integrable cosmological models with non-minimally coupled scalar fields

- Physics
- 2013

We obtain general solutions for some flat Friedmann universes filled with a scalar field in induced gravity models and models including the Hilbert-Einstein curvature term plus a scalar field…

A Complete Model of Cosmological Evolution of a Scalar Field with Higgs Potential and Euclidean Cycles

- Physics
- 2020

Abstract A revision of the author’s results concerning the possible existence of the so-called Euclidean cycles in cosmological evolution of a system of Higgs scalar fields is being performed. The…

Global stability analysis for cosmological models with nonminimally coupled scalar fields

- Physics
- 2014

We explore dynamics of cosmological models with a nonminimally coupled scalar field evolving on a spatially flat Friedmann-Lemaitre-Robertson-Walker background. We consider cosmological models…

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

- PhysicsRussian Physics Journal
- 2019

On the basis of a qualitative and numerical analysis of a cosmological model based on an asymmetric scalar doublet of nonlinear, minimally interacting scalar fields -- one classical and one phantom,…

Reconstruction Procedure in Modified Gravity Cosmological Models

- Physics
- 2014

We explorer reconstruction procedures for modified gravity cosmological models. The considering reconstruction procedures are proposed to reconstruct the potentials in cosmological models…

## References

SHOWING 1-10 OF 89 REFERENCES

Friedmann cosmology with nonpositive-definite Higgs potentials

- Physics
- 2012

We consider classical aspects of the dynamics of scalar fields with nonpositive-definite potentials in the Friedmann cosmology. Such models appear as effective local models in the framework of…

Dynamics in nonlocal linear models in the Friedmann–Robertson–Walker metric

- Physics, Mathematics
- 2008

A general class of cosmological models driven by a nonlocal scalar field inspired by string field theory is studied. Using the fact that the considering linear nonlocal model is equivalent to an…

Cosmological perturbations in SFT inspired non-local scalar field models

- Physics
- 2009

We study cosmological perturbations in models with a single non-local scalar field originating from the string field theory description of the rolling tachyon dynamics. We construct the equation for…

Induced gravity inflation in the standard model of particle physics

- Physics
- 1995

Abstract We are considering the cosmological consequences of an induced gravity theory coupled to the minimal standard model of particle physics. The non-minimal coupling parameter between gravity…

Reconstruction of Scalar Potentials in Modified Gravity Models

- Physics
- 2013

We employ the superpotential technique for the reconstruction of cosmological models with a non-minimally coupled scalar field evolving on a spatially flat Friedmann-Robertson-Walker background. The…

Nonlocal String Tachyon as a Model for Cosmological Dark Energy

- Physics
- 2004

There are many different phenomenological models describing the cosmological dark energy and accelerating Universe by choosing adjustable functions. In this paper we consider a specific model of…

Non-minimal Higgs Inflation and Frame Dependence in Cosmology

- Physics
- 2013

We investigate a very general class of cosmological models with scalar fields non-minimally coupled to gravity. A particular representative in this class is given by the non-minimal Higgs inflation…

Dynamical Dark Energy and Spontaneously Generated Gravity

- Physics
- 2012

Abstract We study the cosmological evolution of an induced gravity model with a scale symmetry breaking potential for the scalar field and the presence of barotropic fluids. The radiation to matter…

The Standard Model Higgs boson as the inflaton

- Physics
- 2008

We argue that the Higgs boson of the Standard Model can lead to inflation and produce cosmological perturbations in accordance with observations. An essential requirement is the non-minimal coupling…

Quantum backreaction in scale-invariant induced gravity inflation

- Physics
- 2011

A quartic, self-interacting potential in the induced gravity framework is known to have a pure de Sitter attractor for the homogeneous mode. In order to obtain non-zero slow roll parameters we…