Extended Quintessence

Abstract

We study Quintessence cosmologies in the context of scalar-tensor theories of gravity, where a scalar field $\varphi$, assumed to provide most of the cosmic energy density today, is non-minimally coupled to the Ricci curvature scalar $R$. Such `Extended Quintessence' cosmologies have the appealing feature that the same field causing the time (and space) variation of the cosmological constant is the source of a varying Newton's constant à la Jordan-Brans-Dicke. We investigate here two classes of models, where the gravitational sector of the Lagrangian is $F(\varphi )R$ with $F(\varphi )=\xi {\varphi }^2$ (Induced Gravity, IG) and $F(\varphi )=1+\xi {\varphi }^2$ (Non-Minimal Coupling, NMC). As a first application of this idea we consider a specific model, where the Quintessence field, $\varphi$, obeying the simplest inverse power potential, has ${\Omega }_{\varphi }=0.6$ today, in the context of the Cold Dark Matter scenario, with scale-invariant adiabatic initial perturbations. We find that, if $\xi \lesssim 5\times 10^{-4}$ for IG and $\xi \lesssim 5\times 10^{-3}(\sqrt{G}{\varphi }_0{)}^{-1}$ for NMC (${\varphi }_0$ is the present Quintessence value) our Quintessence field satisfies the existing solar system experimental constraints. Using linear perturbation theory we then obtain the polarization and temperature anisotropy spectra of the Cosmic Microwave Background (CMB) as well as the matter power-spectrum. The perturbation behavior possesses distinctive features, that we name `QR-effects', regarding acoustic peak location and height, late time integrated Sachs-Wolfe effect, as well as turnover and amplitude in the matter power spectrum. These features could be detected in the upcoming observations on CMB and large-scale structure.

19 pages including 10 figures, final version to be published in Phys.Rev.D

References in corpus (2)

• Scaling solutions in general non-minimal coupling theories
• Cosmic Microwave Background Temperature and Polarization Anisotropy in Brans-Dicke Cosmology

Cited by in corpus (302)

• Dynamics of dark energy
• The Cosmological Constant and Dark Energy
• f(R) Theories Of Gravity
• Modified Gravity and Cosmology
• f(R) theories
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• The Cosmological Constant
• Kinetically Driven Quintessence
• Cosmology and Fundamental Physics with the Euclid Satellite
• Cosmology and fundamental physics with the Euclid satellite
• Reconstruction of a scalar-tensor theory of gravity in an accelerating universe
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Conditions for the cosmological viability of f(R) dark energy models
• 1/R gravity and Scalar-Tensor Gravity
• Quintessence arising from exponential potentials
• Dark Matter and Dark Energy
• Teleparallel Gravity: From Theory to Cosmology
• Scalar-tensor gravity in an accelerating universe
• Parameterized Beyond-Einstein Growth
• Further stable neutron star models from f(R) gravity
• Comparison of the Legacy and Gold SnIa Dataset Constraints on Dark Energy Models
• Crossing the Phantom Divide: Theoretical Implications and Observational Status
• Phenomenology of a realistic accelerating universe using only Planck-scale physics
• Cosmology with Interaction between Phantom Dark Energy and Dark Matter and the Coincidence Problem
• Matter density perturbations and effective gravitational constant in modified gravity models of dark energy
• Inflation and quintessence with nonminimal coupling
• Modified gravity models of dark energy
• Maximal neutron star mass and the resolution of hyperon puzzle in modified gravity
• A comparison of cosmological models using recent supernova data
• ECOSMOG: An Efficient Code for Simulating Modified Gravity
• Quintessence and phantom cosmology with non-minimal derivative coupling
• Tension and constraints on modified gravity parametrizations of $G_{\text{eff}}(z)$ from growth rate and Planck data
• Cosmological observations in scalar-tensor quintessence
• Interacting dark energy, holographic principle and coincidence problem
• Dark energy in Horndeski theories after GW170817: A review
• Quintessence, super-quintessence and observable quantities in Brans-Dicke and non-minimally coupled theories
• The Dynamics of Quintessence, The Quintessence of Dynamics
• Black Hole Based Tests of General Relativity
• Nonperturbative models of quark stars in $f(R)$ gravity
• Coupled and Extended Quintessence: theoretical differences and structure formation
• Crossing the Phantom Divide Barrier with Scalar Tensor Theories
• Cosmological constraints on the dark energy equation of state and its evolution
• The acceleration of the universe and the physics behind it
• On the growth of linear perturbations
• Constraints on scalar-tensor models of dark energy from observational and local gravity tests
• Challenges for scaling cosmologies
• Exploring physical features of anisotropic strange stars beyond standard maximum mass limit in $f\left(R,\mathcal{T}\right)$ gravity
• The distance duality relation from X-ray and SZ observations of clusters
• Dark Energy Condensation
• Weak lensing in scalar-tensor theories of gravity
• Can Horndeski Theory be recast using Teleparallel Gravity?
• Observational constraints on Galileon cosmology
• Exhaustive Study of Cosmic Microwave Background Anisotropies in Quintessential Scenarios
• Dark Matter Relic Abundance and Scalar-Tensor Dark Energy
• Modeling Quintessential Inflation
• Tracking Extended Quintessence
• Matter perturbations in Galileon cosmology
• On Some Exponential Potentials for a Cosmological Scalar Field as Quintessence
• Effective gravitational couplings for cosmological perturbations in generalized Proca theories
• Density perturbations in general modified gravitational theories
• Big bang nucleosynthesis constraints on scalar-tensor theories of gravity
• Extended $f(R,L_m)$ gravity with generalized scalar field and kinetic term dependences
• Scaling attractors in interacting teleparallel dark energy
• Matter density perturbations in modified gravity models with arbitrary coupling between matter and geometry
• A Quintessential Axion
• Time dependent couplings in the dark sector: from background evolution to nonlinear structure formation
• Observational constraints on viable f(R) parametrizations with geometrical and dynamical probes
• Scalar-tensor theories of gravity, neutrino physics, and the $H_0$ tension
• Cosmic expansion and growth histories in Galileon scalar-tensor models of dark energy
• Constraining the quintessence equation of state with SnIa data and CMB peaks
• Variable gravity Universe
• Can we be tricked into thinking that w is less than -1?
• Selected topics in scalar-tensor theories and beyond
• Tension and Systematics in the Gold06 SnIa Dataset
• Constraints on the sound speed of dark energy
• Evolving Newton's Constant, Extended Gravity Theories and SnIa Data Analysis
• Observational signatures of Jordan-Brans-Dicke theories of gravity
• Scalarized Hairy Black Holes
• Scalar-Tensor Teleparallel Wormholes by Noether Symmetries
• General analytic formulae for attractor solutions of scalar-field dark energy models and their multi-field generalizations
• Neutrino Dark Energy -- Revisiting the Stability Issue
• Cosmological dynamics of tachyonic teleparallel dark energy
• Feasibility of Reconstructing the Quintessential Potential Using SNIa Data
• Can f(R) Modified Gravity Theories Mimic a LCDM Cosmology?
• Structure formation constraints on the Jordan-Brans-Dicke theory
• Dilaton-derived quintessence scenario leading naturally to the late-time acceleration of the Universe
• The growth of matter perturbations in some scalar-tensor DE models
• Cosmic microwave background with Brans-Dicke gravity II: constraints with the WMAP and SDSS data
• Quintessential Enhancement of Dark Matter Abundance
• Quintessence Model With Double Exponential Potential
• Slow-Roll Thawing Quintessence
• Reconstruction of general scalar-field dark energy models
• Reconstruction of the Scalar-Tensor Lagrangian from a LCDM Background and Noether Symmetry
• Realistic cosmological scenario with non-minimal kinetic coupling
• Constraints on flat cosmologies with tracking Quintessence from Cosmic Microwave Background observations
• WMAP constraints on scalar-tensor cosmology and the variation of the gravitational constant
• Quintessential Kination and Cold Dark Matter Abundance
• Dark energy and the Boomerang data
• Cosmological constraints on post-Newtonian parameters in effectively massless scalar-tensor theories of gravity
• What can Machine Learning tell us about the background expansion of the Universe?
• Scientific Potential of DECIGO Pathfinder and Testing GR with Space-Borne Gravitational Wave Interferometers
• CMB and BAO constraints for an induced gravity dark energy model with a quartic potential
• Clarifying spherical collapse in coupled dark energy cosmologies
• Tracker fields from nonminimally coupled theory
• Large Scale Structures in Kinetic Gravity Braiding Model That Can Be Unbraided
• The Limits of Extended Quintessence
• The effect of modified gravity on weak lensing
• Phenomenology of dark energy: exploring the space of theories with future redshift surveys
• Non-minimal quintessence and phantom with nearly flat potentials
• Cosmological constraints on induced gravity dark energy models
• N-body Simulations for Extended Quintessence Models
• Equation of State of Oscillating Brans-Dicke Scalar and Extra Dimensions
• A sub-horizon framework for probing the relationship between the cosmological matter distribution and metric perturbations
• A comparison of structure formation in minimally and non-minimally coupled quintessence models
• K-essential Leptogenesis
• Phantom energy mediates a long-range repulsive force
• Relaxing Nucleosynthesis Constraints on Brans-Dicke Theories
• Phase space geometry in scalar-tensor cosmology
• On the dark energy clustering properties
• The WIMP of a Minimal Technicolor Theory
• A crucial ingredient of inflation
• Cosmological equivalence between the Finsler-Randers space-time and the DGP gravity model
• Extended quintessence with an exponential coupling
• Big smash of the universe
• Weak lensing in generalized gravity theories
• Chameleon scalar fields in relativistic gravitational backgrounds
• Fab Four: When John and George play gravitation and cosmology
• Constraints on general second-order scalar-tensor models from gravitational Cherenkov radiation
• Cosmological dynamics of dark energy in scalar-torsion $f(T,\varphi )$ gravity
• Perturbation evolution with a non-minimally coupled scalar field
• Extended quintessence and the primordial helium abundance
• Perturbations in cosmologies with a scalar field and a perfect fluid
• Dark Energy, Induced Gravity and Broken Scale Invariance
• Revisiting chameleon gravity - thin-shells and no-shells with appropriate boundary conditions
• Constraints on f(R) theory and Galileons from the latest data of galaxy redshift surveys
• Planck-scale quintessence and the physics of structure formation
• Constraints on a variable dark energy model with recent observations
• Testing power-law cosmology with galaxy clusters
• Hydrodynamical simulations of galaxy clusters in dark energy cosmologies: II. c-M relation
• Non-minimally coupled scalar field cosmology on the phase plane
• Statefinder Diagnostic for Dilaton Dark Energy
• Finite-time future singularities models in $f(T)$ gravity and the effects of viscosity
• UV stable, Lorentz-violating dark energy with transient phantom era
• Dark energy: investigation and modeling
• Dark energy records in lensed cosmic microwave background
• Static spherically symmetric wormholes in generalized $f(R,\varphi )$ gravity
• Coupled oscillators as models of phantom and scalar field cosmologies
• Planck constraints on scalar-tensor cosmology and the variation of the gravitational constant
• The growth of linear perturbations in the DGP model
• Accelerating universe in scalar tensor models - confrontation of theoretical predictions with observations
• Linear Growth of Structure in the Symmetron Model
• Bayesian Evidences for Dark Energy models in light of current obsevational data
• Probing deviations from General Relativity with the Euclid spectroscopic survey
• Model-dependent Axion as Quintessence with Almost Massless Hidden Sector Quarks
• Scaling solutions in scalar-tensor cosmologies
• Approaching Lambda without fine-tuning
• Toward a Unified Description of Dark Energy and Dark Matter from the Abnormally Weighting Energy Hypothesis
• A novel teleparallel dark energy model
• New Exact Spherically Symmetric Solutions in $f(R,\varphi ,X)$ gravity by Noether's symmetry approach
• BBN And CMB Constraints On Dark Energy
• Preventing eternality in phantom inflation
• Dark energy and dark matter from cosmological observations
• Observational constraints on non-minimally coupled Galileon model
• Implications for quintessence models from MAXIMA-1 and BOOMERANG-98
• Thermodynamics of viscous dark energy in an RSII braneworld
• Can $f(T)$ gravity theories mimic $\Lambda$CDM cosmic history
• Scalar-tensor cosmologies: fixed points of the Jordan frame scalar field
• Einstein's cluster mimicking compact star in the teleparallel equivalent of general relativity
• Quintessential perturbations during scaling regime
• Constraints on extended quintessence from high-redshift Supernovae
• Non-linear perturbations in scalar-tensor cosmologies
• A two-scalar model for a small but nonzero cosmological constant
• Generalized Second Law of Thermodynamic in Modified Teleparallel Theory
• The false vacuum bubble nucleation due to a nonminimally coupled scalar field
• Scalar-tensor cosmology with R^{-1} curvature correction by Noether Symmetry
• Hydrodynamical simulations of galaxy clusters in dark energy cosmologies: I. general properties
• Stability of scalar perturbations in scalar-torsion $f(T,\varphi )$ gravity theories in the presence of a matter fluid
• Scalar-tensor cosmology at the general relativity limit: Jordan vs Einstein frame
• Dynamic transition to spontaneous scalarization in boson stars
• Evolution of Dark Energy Perturbations in Scalar-Tensor Cosmologies
• What $\xi$? Cosmological constraints on the non-minimal coupling constant
• Modified Brans-Dicke Theory in Arbitrary Dimensions
• Zero-point quantum fluctuations in cosmology
• Induced scalarization in boson stars and scalar gravitational radiation
• Non-linear gravitational clustering in scalar field cosmologies
• Cosmology with exponential potentials
• Extended quintessence, inflation, and stable de Sitter spaces
• Cosmological viability conditions for $f(T)$ dark energy models
• Dynamics of neutrino lumps in growing neutrino quintessence
• Energy conditions and classical scalar fields
• Generalized slow-roll inflation
• The distinctions between $\Lambda$CDM and $f(T)$ gravity according Noether symmetry
• Dark Energy from Gauss-Bonnet and non-minimal couplings
• Quantum Corrections in Quintessence Models
• Anisotropic k-essence cosmologies
• Breakdown of the initial value formulation of scalar-tensor gravity and its physical meaning
• Non-chaotic dynamics in general-relativistic and scalar-tensor cosmology
• Universality for quintessence
• Cosmological dynamics with non-minimally coupled scalar field and a constant potential function
• Scalar-tensor mixed polarization search of gravitational waves
• Boundary Inflation and the WMAP Data
• Structure formation in Multiple Dark Matter cosmologies with long-range scalar interactions
• Scalar field cosmology in the energy phase-space -- unified description of dynamics
• Observational Constraints on Dynamical Dark Energy Models
• Generalized Slow Roll Conditions and the Possibility of Intermediate Scale Inflation in Scalar-Tensor Theory
• Uniting cosmological epochs through the twister solution in cosmology with non-minimal coupling
• Growth of spherical overdensities in scalar-tensor cosmologies
• Second-order matter density perturbations and skewness in scalar-tensor modified gravity models
• The WiggleZ Dark Energy Survey: constraining the evolution of Newton's constant using the growth rate of structure
• A new extended quintessence
• Modified gravity and coupled quintessence
• Spherical collapse in the extended quintessence cosmological models
• Lunar Laser Ranging constraints on nonminimally coupled dark energy and standard sirens
• Instability of Chaplygin gas trajectories in unified dark matter models
• Cosmological constrains on minimally and non-minimally coupled scalar field models
• Cosmological dynamics of interacting dark energy and dark matter in viable models of f(R) gravity
• Traversable holographic dark energy wormholes constrained by astronomical observations
• Strong Cosmic Censorship in Charged de Sitter spacetime with Scalar Field Non-minimally Coupled to Curvature
• From Asymptotic Safety to Dark Energy
• Testing extended Jordan-Brans-Dicke theories with future cosmological observations
• Dark Energy, Scalar-Tensor Gravity and Large Extra Dimensions
• An exact model of conformal quintessence
• Cosmological acceleration
• Revisiting the dynamics of interacting vector-like dark energy
• Dark matter relic density in scalar-tensor gravity revisited
• Linear perturbations in K-mouflage cosmologies with massive neutrinos
• Detecting Dark Energy Fluctuations with Gravitational Waves
• Neutron Stars in frames of $R^2$-gravity and Gravitational Waves
• Machine Learning and cosmographic reconstructions of quintessence and the Swampland conjectures
• Brans-Dicke inflation in light of the Planck 2015 data
• Stability of Einstein static universe in gravity theory with a non-minimal derivative coupling
• Scalar-tensor cosmologies with dust matter in the general relativity limit
• Effective cosmological "constant " and quintessence
• Phase-space of flat Friedmann-Robertson-Walker models with both a scalar field coupled to matter and radiation
• Dark energy, curvature, and cosmic coincidence
• Induced Gravity and the Attractor Dynamics of Dark Energy/Dark Matter
• Dark energy from dark radiation in strongly coupled cosmologies with no fine tuning
• Dark energy and dark matter from an inhomogeneous dilaton
• Fluctuations in strongly coupled cosmologies
• Observed galaxy power spectrum in cubic Galileon model
• Baryogenesis after Hyperextended Inflation
• Stability of symmetric teleparallel scalar-tensor cosmologies with alternative connections
• Constraining scalar-tensor quintessence by cosmic clocks
• Slow-roll Extended Quintessence
• Exact Scaling Solutions in Normal and Brans-Dicke Models of Dark Energy
• Scalar particle production in a simple Horndeski theory
• Can a variable gravitational constant resolve the Faint Young Sun Paradox ?
• Observational constraints to a phenomenological $f\left(R,\nabla R\right)$-model
• Cosmic microwave background with Brans-Dicke Gravity: I. Covariant Formulation
• Dark world and baryon asymmetry from a common source
• DESI constraints on $\alpha$-attractor inflationary models
• Constraining dark energy using the cross correlations of weak lensing with post-reionization probes of neutral hydrogen
• Dynamical analysis in regularized $4D$ Einstein-Gauss-Bonnet gravity with non-minimal coupling
• High energy description of dark energy in an approximate 3-brane Brans-Dicke cosmology
• The $k$-essence scalar field in the context of Supernova Ia Observations
• A new approach to cosmological perturbations in f(R) models
• Cosmological Scaling Solutions with Tachyon:Modified Gravity Model
• Parametrization for the Scale Dependent Growth in Modified Gravity
• Dynamical analysis for a scalar-tensor model with kinetic and non-minimal couplings
• Self-accelerating solutions of scalar-tensor gravity
• On the stability of gravity in the presence of a non-minimally coupled scalar field
• Particle creation in the framework of f(G) gravity
• Phantom-Like Behavior of a DGP-Inspired Scalar-Gauss-Bonnet Gravity
• Constraints on the Spacetime Dynamics of an Early Dark Energy Component
• Dark Energy and Modified Scale Covariant Theory of Gravitation
• Improved parametrization of the growth index for dark energy and DGP models
• Non-Minimal Quintessence With Nearly Flat Potential
• Oscillating scalar fields in extended quintessence
• Constraints on scalar-tensor theories of gravity from observations
• Shadows of trans-planckian physics on cosmology and the role of the zero-point energy density
• Perfect fluid solutions of Brans-Dicke and f(R)cosmology
• Scalar Dark Energy Models and Scalar-Tensor Gravity: Theoretical Explanations for the Accelerated Expansion of Present Universe
• Particle creation in flat FRW Universe in the framework of $f(T)$ gravity
• Investigation of Bouncing Universe and Phantom Crossing in Modified Gravity Coupled with Weyl Tensor and its Reconstruction
• Cosmological Dynamics in Interacting Scalar-Torsion f(T,$\varphi$) Gravity: Investigating Energy and Momentum Couplings
• Cosmological test of an extended quintessence model
• Symmetry analysis and exact solutions of modified Brans-Dicke cosmological equations
• Dark Energy and Inflation with Volume Normalized Action
• Evolution of Dark Energy Perturbations for Slotheon Field and Power Spectrum
• Modification to the Luminosity Distance Redshift Relation in Modified Gravity Theories
• Stability analysis and observational constraints in scalar tensor theory
• Perturbation in an interacting dark universe
• From inflation to dark energy in scalar-tensor cosmology
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• Cosmology and stability in scalar tensor bigravity with non-minimal kinetic coupling gravity
• Implications upon theory discrimination of an accurate measurement of the time rate of change of the gravitational parameter and other cosmological parameters
• Beyond self-acceleration: force- and fluid-acceleration
• Post-Newtonian Gravity in Cosmology
• Anomalies and parities for quintessential and ultra-light axions
• Can an Extra Degree of Freedom in Scalar-Tensor Non-Metricity Gravity Account for the Evolution of the Universe?
• Scalar-field quintessence by cosmic shear: CFHT data analysis and forecasts for DUNE
• Inflation with blowing-up solution of cosmological constant problem
• Cosmological dynamics of holographic dark energy with non-minimally coupled scalar field
• Implications of single field inflation in general cosmological scenarios on the nature of dark energy given the swampland conjectures
• An exotic k-essence interpretation of interactive cosmological models
• Cosmological Dynamics of Exponential Quintessence Constrained by BAO, Cosmic Chronometers, and DES-SN5YR/Pantheon+ Data
• Conformal Frame dependence on Cosmological Observations in Scalar-Tensor Theories of Gravity
• Dark Energy Simulations
• Dynamical analysis of $k$-essence cosmology in the light of Supernova Ia observations
• Interacting dark matter and q-deformed dark energy non-minimally coupled to gravity
• The galaxy cluster concentration-mass relation in dark energy cosmologies
• Hamilton-Jacobi formalism for Generalized Chaplygin Gas models