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We study the autonomous system for a scalar-tensor model of dark energy with Gauss-Bonnet and non-minimal couplings. The critical points describe important stable asymptotic scenarios including quintessence, phantom and de Sitter attractor…

General Relativity and Quantum Cosmology · Physics 2017-10-16 L. N. Granda , D. F. Jimenez

We perform a dynamical analysis for the exponential scalar field with non-minimally derivative coupling. For the quintessence case, the stable fixed points are the same with and without the non-minimally derivative coupling. For the phantom…

General Relativity and Quantum Cosmology · Physics 2015-04-10 Yumei Huang , Qing Gao , Yungui Gong

We consider a scalar-tensor model of dark energy with kinetic and Gauss Bonnet couplings. We study the conditions for the existence of quintessential and phantom power-law expansion, and also analyze these conditions in absence of potential…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 L. N. Granda , D. F. Jimenez , C. Sanchez

We study a model of scalar field with a general non-minimal kinetic coupling to itself and to the curvature, and additional coupling to the Gauss Bonnet 4-dimensional invariant. The model presents rich cosmological dynamics and some of its…

High Energy Physics - Theory · Physics 2012-02-01 L. N. Granda

We consider a scalar-tensor model of dark energy with Gauss-Bonnet and non-minimal couplings. Exact cosmological solutions were found in absence of potential, that give equations of state of dark energy consistent with current observational…

General Relativity and Quantum Cosmology · Physics 2015-06-23 L. N. Granda , D. F. Jimenez

We study generic solutions in a non-minimally coupled to gravity scalar field cosmology. It is shown that dynamics for both canonical and phantoms scalar fields with the potential can be reduced to the dynamical system from which the exact…

Cosmology and Nongalactic Astrophysics · Physics 2010-11-11 Orest Hrycyna , Marek Szydlowski

Dynamical systems methods are used to investigate dynamics of a flat Friedmann-Robertson-Walker cosmological model with the non-minimally coupled scalar field and a potential function. Performed analysis distinguishes the value of…

General Relativity and Quantum Cosmology · Physics 2020-09-07 Orest Hrycyna

We consider cosmological dynamics of nonminimally coupled scalar field in the scalar-torsion gravity in the presence of a hydrodynamical matter. Potential of the scalar field have been chosen as power-law with negative index, this type of…

General Relativity and Quantum Cosmology · Physics 2017-01-03 Maria Skugoreva , Alexey Toporensky

This paper explores cosmological scenarios in a scalar-tensor theory of gravity, including both a non-minimal coupling with scalar curvature of the form $R\phi^2$ and a non-minimal derivative coupling of the form…

General Relativity and Quantum Cosmology · Physics 2025-10-13 Ravil R. Fatykhov , Sergey V. Sushkov

Recent observations and theoretical considerations have motivated the study of models for dark energy with equation of state characterized by a parameter $w=p/\rho<-1$. Such models, however, are usually believed to be inviable due to their…

Astrophysics · Physics 2009-11-10 Fabio C. Carvalho , Alberto Saa

We study a new model of scalar field with a general non-minimal kinetic coupling to itself and to the curvature, as a source of dark energy, and analyze the cosmological dynamics of this model and the issue of accelerated expansion. A wide…

High Energy Physics - Theory · Physics 2015-03-17 L. N. Granda , W. Cardona

We study the phase space for an scalar-tensor string inspired model of dark energy with non minimal kinetic and Gauss Bonnet couplings. The form of the scalar potential and of the coupling terms is of the exponential type, which give rise…

General Relativity and Quantum Cosmology · Physics 2016-10-12 L. N. Granda , E. Loaiza

We study a model of scalar field with a general non-minimal kinetic coupling to itself and to the curvature. The cosmological dynamics of this model and the issue of accelerated expansion is analyzed. Solutions giving rise to power law…

High Energy Physics - Theory · Physics 2011-01-17 L. N. Granda

We investigate cosmological scenarios with a non-minimal derivative coupling between the scalar field and the curvature, examining both the quintessence and the phantom cases in zero and constant potentials. In general, we find that the…

General Relativity and Quantum Cosmology · Physics 2010-04-21 Emmanuel N. Saridakis , Sergey V. Sushkov

In this work we have studied a cosmological model based on a quintom dark energy model non-minimally coupled with gravity, endowed with a specfic potential energy of the exponential squared type. For this specific type of potential energy…

General Relativity and Quantum Cosmology · Physics 2020-10-28 Mihai Marciu

An exact de Sitter solution of scalar-tensor gravity is found, in which the non-minimal coupling scalar is rolling along a non-constant potential. Based on this solution, a dust-filled FRW universe is explored in frame of scalar-tensor…

General Relativity and Quantum Cosmology · Physics 2010-06-22 Hongsheng Zhang , Xin-Zhou Li

We explore quintessence models of dark energy which exhibit non-minimal coupling between the dark matter and the dark energy components of the cosmic fluid. The kind of coupling chosen is inspired in scalar-tensor theories of gravity. We…

Astrophysics · Physics 2007-05-23 Tame Gonzalez , Genly Leon , Israel Quiros

In this short note we present the dynamics of a general scalar-tensor model, and in particular a scalar Einstein-Gauss-Bonnet model with a non-minimal coupling between gravity and the kinetic term of the scalar field. For the sake of…

General Relativity and Quantum Cosmology · Physics 2021-10-04 Fotis Fronimos

We analyze a model of quintessence governed by an exponential potential and non-minimally coupled to gravity, in light of recent datasets, including cosmic microwave background, baryon acoustic oscillations, and supernovae distance moduli…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-17 Samuel Sánchez López , Alexandros Karam , Dhiraj Kumar Hazra

We perform a detailed study of the phase-space of the field equations of an Einstein-Gauss-Bonnet scalar field cosmology for a spatially flat Friedmann--Lema\^{\i}tre--Robertson--Walker spacetime. For the scalar field potential, we consider…

General Relativity and Quantum Cosmology · Physics 2023-02-21 Alfredo D. Millano , Genly Leon , Andronikos Paliathanasis
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