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Dynamical systems methods are used to investigate cosmological model with non-minimally coupled scalar field. Existence of an asymptotically unstable de Sitter state distinguishes values of the non-minimal coupling constant parameter…

General Relativity and Quantum Cosmology · Physics 2017-05-31 Orest Hrycyna

In this study, motivated by recent results from DESI DR2 suggesting the existence of evolving/interacting dark energy, we analyze spatially flat FLRW interacting scalar-tensor cosmological models with non-minimal coupling (NMC) between the…

General Relativity and Quantum Cosmology · Physics 2026-03-12 Marcin Postolak

We show that the potential of the scalar field in the Einstein frame is flat if the nonminimal coupling term is properly chosen that it satisfies the condition (V(phi)/K^2(phi)-> constant) as phi gets large. The cosmological implication of…

High Energy Physics - Phenomenology · Physics 2010-11-11 Seong Chan Park

The non-minimal coupling of a scalar field to the Ricci curvature in a curved spacetime is unavoidable according to several authors. The coupling constant is not a free parameter: the prescriptions for the value of the coupling constant in…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Valerio Faraoni

We investigate the phase-space of a flat FRW universe including both a scalar field, $\phi,$ coupled to matter, and radiation. The model is inspired in scalar-tensor theories of gravity, and thus, related with $F(R)$ theories through…

General Relativity and Quantum Cosmology · Physics 2010-09-06 Genly Leon , Pavel Silveira , Carlos R. Fadragas

We investigate cosmological scenarios in the theory of gravity with the scalar field possessing a non-minimal kinetic coupling to the curvature. It is shown that the kinetic coupling provides an essentially new inflationary mechanism.…

General Relativity and Quantum Cosmology · Physics 2012-10-09 Sergey Sushkov

We provide further evidence that a massless cosmological scalar field with a non-minimal coupling to the Ricci curvature of the type $M^2_{\rm pl}(1+\xi \sigma^n/M_{\rm pl}^n) $ alleviates the existing tension between local measurements of…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-22 Matteo Braglia , Mario Ballardini , William T. Emond , Fabio Finelli , A. Emir Gumrukcuoglu , Kazuya Koyama , Daniela Paoletti

The paper deals with a non--minimally coupled scalar field in the background of homogeneous but anisotropic Kantowski--Sachs space--time model. The form of the coupling function of the scalar field with gravity and the potential function of…

General Relativity and Quantum Cosmology · Physics 2018-05-23 Sourav Dutta , Muthusamy Lakshmanan , Subenoy Chakraborty

We consider the dynamics of a scalar field non-minimally coupled to gravity in the context of cosmology. It is demonstrated that there exists a new phase for the scalar field, in addition to the inflationary and dust-like (reheating period)…

Cosmology and Nongalactic Astrophysics · Physics 2013-07-30 Amir Ghalee

We revisit the cyclic Universe scenario in scalar field FRW cosmology and check its applicability for a nonminimally coupled scalar field. We show that for the most popular case of a quartic potential and the standard nonminimal coupling…

General Relativity and Quantum Cosmology · Physics 2023-12-20 L. León Andonayre , M. Skugoreva , A. Toporensky , T. Vargas

We study the evolution of a three-dimensional minisuperspace cosmological model by the Noether symmetry approach. The phase space variables turn out to correspond to the scale factor of a flat Friedmann-Robertson-Walker (FRW) model, a…

General Relativity and Quantum Cosmology · Physics 2015-12-30 Babak Vakili

We study the phase--space of FLRW models derived from Scalar--Tensor Gravity where the non--minimal coupling is $F(\phi)=\xi\phi^2$ and the effective potential is $V(\phi)=\lambda \phi^n$. Our analysis allows to unfold many feature of the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S Carloni , J A Leach , S Capozziello , P K S Dunsby

We propose a model of dark energy consists of a single scalar field with a general non-minimal kinetic couplings to itself and to the curvature. We study the cosmological dynamics of the equation of state in this setup. The coupling terms…

General Physics · Physics 2015-06-05 A. Banijamali , B. Fazlpour

We perform a combined perturbation and observational investigation of the scenario of non-minimal derivative coupling between a scalar field and curvature. First we extract the necessary condition that ensures the absence of instabilities,…

Cosmology and Nongalactic Astrophysics · Physics 2013-12-02 James B. Dent , Sourish Dutta , Emmanuel N. Saridakis , Jun-Qing Xia

We consider a universe with a positive effective cosmological constant and a nonminimally coupled scalar field. When the coupling constant is negative, the scalar field exhibits linear growth at asymptotically late times, resulting in a…

General Relativity and Quantum Cosmology · Physics 2015-04-06 Dražen Glavan , Tomislav Prokopec

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 study effects of noncommutativity on the phase space generated by a non-minimal scalar field which is conformally coupled to the background curvature in an isotropic and homogeneous FRW cosmology. These effects are considered in two…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Behrooz Malekolkalami , Mehrdad Farhoudi

This paper treats nonrelativistic matter and a scalar field $\phi$ with a monotonically decreasing potential minimally coupled to gravity in flat Friedmann-Lema\^{i}tre-Robertson-Walker cosmology. The field equations are reformulated as a…

General Relativity and Quantum Cosmology · Physics 2015-11-11 Artur Alho , Claes Uggla

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

Scalar fields coupled to gravity via $\xi R {\Phi}^2$ in arbitrary Friedmann-Robertson-Walker backgrounds can be represented by an effective flat space field theory. We derive an expression for the scalar energy density where the effective…

General Relativity and Quantum Cosmology · Physics 2009-10-28 David Hochberg , Thomas W. Kephart