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

Aref’eva, I. Ya.; Bulatov, Nikolay V.; Gorbachev, R. V.; Vernov, S. Yu.

doi:10.1088/0264-9381/31/6/065007

Cited by 19 publications

(8 citation statements)

References 97 publications

(222 reference statements)

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“…In this section, we revisit a non minimally coupled scalar field model that allows to obtain a transient phantom dark energy. Various features of non minimally coupled scalar field system have been investigated (Dent et al 2013;Kamenshchik et al 2013;Nozari & Rashidi 2013;Aref'eva et al 2014;Kamenshchik et al 2014;Luo, Wu & Yu 2014;Skugoreva, Toporensky & Vernov 2014;Skugoreva, Saridakis & Toporensky 2014). The action having non minimal coupling with scalar field is given as (Sami et al 2012):…”

Section: Non Minimally Coupled Scalar Field Modelmentioning

confidence: 99%

Om diagnostic applied to scalar field models and slowing down of cosmic acceleration

Shahalam

Sami

Agarwal

2015

Monthly Notices of the Royal Astronomical Society

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We apply the Om diagnostic to models for dark energy based on scalar fields. In case of the power law potentials, we demonstrate the possibility of slowing down the expansion of the Universe around the present epoch for a specific range in the parameter space. For these models, we also examine the issues concerning the age of Universe. We use the Om diagnostic to distinguish the ΛCDM model from non minimally coupled scalar field, phantom field and generic quintessence models. Our study shows that the Om has zero, positive and negative curvatures for ΛCDM, phantom and quintessence models respectively. We use an integrated data base (SN+Hubble+BAO+CMB) for observational analysis and demonstrate that Om is a useful diagnostic to apply to observational data.

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Section: Non Minimally Coupled Scalar Field Modelmentioning

confidence: 99%

Om diagnostic applied to scalar field models and slowing down of cosmic acceleration

Shahalam

Sami

Agarwal

2015

Monthly Notices of the Royal Astronomical Society

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“…Yet, in that approach the dynamical system does not immediately close for an arbitrary potential, and one typically needs to resort to supplementary quantities or variables which complicates the situation. Many authors prefer to work directly on the (φ, φ) plane [35][36][37][38][39][40][41][42][43][44][45][46][47] which can be made compact using Poincaré transformation. However, this choice leads to visual difficulties for the following reason.…”

Section: Introductionmentioning

confidence: 99%

Global portraits of nonminimal inflation

Järv

Toporensky

2022

Eur. Phys. J. C

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We reconsider the dynamical systems approach to analyze inflationary universe in the Jordan frame models of scalar field nonminimally coupled to curvature. The adopted set of variables allows us to clearly distinguish between different asymptotic states in the phase space, including the kinetic and inflationary regimes. Inflation is realized as a heteroclinic trajectory originating either at infinity from a nonhyperbolic asymptotic de Sitter point or from a regular saddle de Sitter point. We also present a comprehensive picture of possible initial conditions leading to sufficient inflationary expansion and show their extent on the phase diagrams. In addition we comment on the slow roll conditions applicable in the Jordan frame and show how they approximate the leading inflationary “attractor solution”. As particular examples we portrait quadratic and quartic potential models and note that increasing the nonminimal coupling diminishes the range of good initial conditions in the quadratic case, but enlarges is in the quartic case.

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“…since for the case of conformal coupling, 1 6, g =nontrivial solutions can exist only for the potential V V 0 4 s = [17]. For 1 6 g =we add a positive constant U 0 to the induced gravity term and consider [7]:…”

Section: ˜˜˙˜( )mentioning

confidence: 99%

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

Kamenshchik

Pozdeeva

Tronconi

et al. 2015

Class. Quantum Grav.

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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 Einstein frame, have potentials depending on hyperbolic functions and in the Jordan frame, where the nonminimal coupling is conformal, possess a relatively simple dynamics. We show that a particular model in this class can be generalized to the cases of closed and open Friedmann universes and still exhibits a simple dynamics. Further we illustrate the conditions for the existences of bounces in some sub-classes of the set of integrable models we have considered.

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

Cited by 19 publications

References 97 publications

Om diagnostic applied to scalar field models and slowing down of cosmic acceleration

Om diagnostic applied to scalar field models and slowing down of cosmic acceleration

Global portraits of nonminimal inflation

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

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