Some remarks about non-minimally coupled scalar field models

Fadragas, Carlos R.; León, Genly

doi:10.1088/0264-9381/31/19/195011

Cited by 47 publications

(51 citation statements)

References 283 publications

(552 reference statements)

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“…In this Section, we study the cosmological evolution of the aforementioned cosmological scenarios by using methods of dynamical systems [79,80]. Specifically we study the critical points of the field equations in order to identify the cosmological eras that are provided by the theory.…”

Section: Dynamical Analysismentioning

confidence: 99%

Dynamics and cosmological evolution in $$\Lambda $$-varying cosmology

et al. 2020

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We study the dynamical properties of a large body of varying vacuum cosmologies for which dark matter interacts with vacuum. In particular, performing the critical point analysis we investigate the existence and the stability of cosmological solutions which describe de-Sitter, radiation and matter dominated eras. We find several cases of varying vacuum models that admit stable critical points, hence they can be used in describing the cosmic history. 95.35.+d, 95.36.+x

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Section: Dynamical Analysismentioning

confidence: 99%

Dynamics and cosmological evolution in $$\Lambda $$-varying cosmology

et al. 2020

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“…In spite of this, the dynamical systems theory provides powerful tools which are commonly used in cosmology to extract essential information on the dynamical properties of a variety of cosmological models, in particular, those models where the scalar field plays a role [19][20][21][22][23][24][27][28][29][30][31][32][33]. In the case of scalar-tensor theories, in particular the BD theory of gravity [1], in spite of several published works [9][10][11][34][35][36][37][38][39][40], the dynamical systems are not of common usage. In this paper, following the studies in [9][10][11], we want to show the power of the simplest tools of the dynamical systems theory in order to extract essential information on the cosmological dynamics of BD-based cosmological models.…”

Section: Dynamical Systemsmentioning

confidence: 99%

Brans-Dicke cosmology does not have theΛCDMphase as a universal attractor

2015

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In this paper we seek for relevant information on the asymptotic cosmological dynamics of the Brans-Dicke theory of gravity for several self-interaction potentials. By means of the simplest tools of the dynamical systems theory, it is shown that the general relativity de Sitter solution is an attractor of the Jordan frame (dilatonic) Brans-Dicke theory only for the exponential potential U (ϕ) ∝ exp ϕ, which corresponds to the quadratic potential V (φ) ∝ φ 2 in terms of the original Brans-Dicke field φ = exp ϕ, or for potentials which asymptote to exp ϕ. At the stable de Sitter critical point, as well as at the stiff-matter equilibrium configurations, the dilaton is necessarily massless. We find bounds on the Brans-Dicke coupling constant ωbd, which are consistent with well-known results.

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“…Throughout the last fifteen years an impressive amount of possible choices has been studied, the most common being Q ∝ ρφ, which can easily be motivated in the Einstein frame formulation of scalar-tensor theories [15][16][17][18]. We cannot discuss in detail this vast amount of literature and the interested reader is referred to [12,19] and in the references therein which provides a general overview of this subject (see also [20][21][22][23] for some recent works).…”

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confidence: 99%

Interacting quintessence from a variational approach. I. Algebraic couplings

2015

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We present a new approach to build models of quintessence interacting with dark or baryonic matter. We use a variational approach for relativistic fluids to realize an effective description of matter fields at the Lagrangian level. The coupling is introduced directly in the action by considering a single function mixing the dynamical degrees of freedom of the theory. The resulting gravitational field equations are derived by variations with respect to the independent variables. New interesting phenomenology can be obtained at both small scales, where new screening mechanisms for scalar fields can be realized, and large scales, where one finds an original and rich class of interacting quintessence models. The background cosmology of two of these models is studied in detail using dynamical system techniques. We find a variety of interesting results: for instance, these models contain dark energy dominated late time attractors and scaling solutions, both with early time matter dominated epochs and a possible inflationary origin. In general this new approach provides the starting point for future in depth studies on new interacting quintessence models. CONTENTS

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Some remarks about non-minimally coupled scalar field models

Cited by 47 publications

References 283 publications

Dynamics and cosmological evolution in $$\Lambda $$-varying cosmology

Dynamics and cosmological evolution in $$\Lambda $$-varying cosmology

Brans-Dicke cosmology does not have theΛCDMphase as a universal attractor

Interacting quintessence from a variational approach. I. Algebraic couplings

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