Reconstructing the universe history, from inflation to acceleration, with phantom and canonical scalar fields

Abstract

We consider the reconstruction technique in theories with a single or multiple (phantom and/or canonical) scalar fields. With the help of several examples, it is demonstrated explicitly that the universe expansion history, unifying early-time inflation and late-time acceleration, can be realized in scalar-tensor gravity. This is generalized to the theory of a scalar field coupled non-minimally to the curvature and to a Brans-Dicke-like theory. Different examples of unification of inflation with cosmic acceleration, in which de Sitter, phantom, and quintessence type fields play the fundamental role--in different combinations--are worked out. Specifically, the frame dependence and stability properties of de Sitter space scalar field theory are studied. Finally, for two-scalar theories, the late-time acceleration and early-time inflation epochs are successfully reconstructed, in realistic situations in which the more and more stringent observational bounds are satisfied, using the freedom of choice of the scalar field potential, and of the kinetic factor.

22 pages, revtex, no figures, version to appear in Phys. Rev. D

References in corpus (93)

• Dynamics of dark energy
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• Phantom Energy and Cosmic Doomsday
• Properties of singularities in (phantom) dark energy universe
• Late-time cosmology in (phantom) scalar-tensor theory: dark energy and the cosmic speed-up
• Quantum deSitter cosmology and phantom matter
• Unifying phantom inflation with late-time acceleration: scalar phantom-non-phantom transition model and generalized holographic dark energy
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Inhomogeneous Equation of State of the Universe: Phantom Era, Future Singularity and Crossing the Phantom Barrier
• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• Reconstructing Dark Energy
• Phantom energy traversable wormholes
• Dark Energy: Vacuum Fluctuations, the Effective Phantom Phase, and Holography
• Observational constraints on dark energy with generalized equations of state
• Modified gravity and its reconstruction from the universe expansion history
• Unified phantom cosmology: inflation, dark energy and dark matter under the same standard
• Quantum escape of sudden future singularity
• Phantom cosmologies
• Constructing Phantom Cosmologies from Standard Scalar Field Universes
• Phantom scalar dark energy as modified gravity: understanding the origin of the Big Rip singularity
• The dS/CFT Correspondence and the Big Smash
• Phantom Field and the Fate of Universe
• Cosmologies with Energy Exchange
• K-Essential Phantom Energy: Doomsday around the corner?
• Coupled dark energy: Towards a general description of the dynamics
• deSitter brane universeinduced by phantom and quantum effects
• The (pseudo)issue of the conformal frame revisited
• Crossing of the w=-1 Barrier by D3-brane Dark Energy Model
• Interacting Holographic Phantom
• The Fate of Bound Systems in Phantom and Quintessence Cosmologies
• The stability of modified gravity models
• de Sitter space and the equivalence between f(R) and scalar-tensor gravity
• Solar System experiments do not yet veto modified gravity models
• Effective equation of state for dark energy: mimicking quintessence and phantom energy through a variable Lambda
• Two-field Models of Dark Energy with Equation of State Across -1
• Crossing w=-1 in Gauss-Bonnet Brane World with Induced Gravity
• A unified approach to scaling solutions in a general cosmological background
• Crossing the Phantom Divide Barrier with Scalar Tensor Theories
• Generalized phantom energy
• Cosmological Evolution of Hessence Dark Energy and Avoidance of the Big Rip
• Dark energy cosmology with generalized linear equation of state
• Quantum phantom cosmology
• Phantom Inflation and Primordial Perturbation Spectrum
• Parametrization of Quintessence and Its Potential
• The Phantom Divide in String Gas Cosmology
• Phantom Cosmologies
• Two-Field Quintom Models in the w-w' Plane
• Phantom-like GCG and the constraints of its parameters via cosmological dynamics
• Dark Energy: Mystery of the Millennium
• Illusions of general relativity in Brans-Dicke gravity
• On the way from matter-dominated era to dark energy universe
• Phantom cosmology with general potentials
• Exactly Solvable SFT Inspired Phantom Model
• Phantom k-essence cosmologies
• On big rip singularities
• Phantom Field with O(N) Symmetry in Exponential Potential
• Generalized holographic dark energy and the IR cutoff problem
• Smooth dynamical (de)-phantomization of a scalar field in simple cosmological models
• Phantom Friedmann Cosmologies and Higher-Order Characteristics of Expansion
• Which cosmological model with dark energy -- phantom or LambdaCDM
• Modified gravity and the stability of de Sitter space
• Non-minimal coupling, exponential potentials and the $w<-1$ regime of dark energy
• Phantom field dynamics in loop quantum cosmology
• Attractor Behavior of Phantom Cosmology
• Born-Infeld-type phantom on the brane world
• Cosmology in Brans-Dicke theory with a scalar potential
• Behavior of Friedmann-Robertson-Walker Cosmological Models in Scalar-Tensor Gravity
• de Sitter attractors in generalized gravity
• The Phantom Bounce: A New Oscillating Cosmology
• Phase space geometry in scalar-tensor cosmology
• A crucial ingredient of inflation
• Attractor solutions for general hessence dark energy
• Cosmology with a Nonlinear Born-Infeld type Scalar Field
• The Evolution of Universe with th B-I Type Phantom Scalar Field
• New "Bigs" in cosmology
• Qualitative Analysis of Brans-Dicke Universes with a Cosmological Constant
• Does the Big Rip survive quantization?
• Type I singularities and the Phantom Menace
• Natural Phantom Dark Energy, Wiggling Hubble Parameter $H(z)$ and Direct $H(z)$ Data
• Exact Conformal Scalar Field Cosmologies
• Extended quintessence, inflation, and stable de Sitter spaces
• Non-chaotic dynamics in general-relativistic and scalar-tensor cosmology
• Negative energy and stability in scalar-tensor gravity
• Multi-graviton theory from a discretized RS brane-world and the induced cosmological constant
• Late-time phantom universe in $\mathbf{SO}(1,1)$ dark energy model with exponential potential
• Reconstruction of scalar potentials in two-field cosmological models
• Advanced Topics in Cosmology: A Pedagogical Introduction
• Born-Infeld Type Phantom Model in the $\omega -{\omega }^{\prime }$ Plane
• Dilaton Coupled Quintessence Model in the $\omega -{\omega }^{\prime }$ Plane
• Reconstructing the properties of dark energy from recent observations
• Interaction between scalar field and ideal fluid with inhomogeneous equation of state
• Phantom cosmology as a scattering process
• Exponential Potentials and Attractor Solution of Dilatonic Cosmology

Cited by in corpus (160)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Quintom Cosmology: Theoretical implications and observations
• Accelerating universe from F(T) gravity
• Black holes, cosmological solutions, future singularities, and their thermodynamical properties in modified gravity theories
• Inflation with Non-Minimal Coupling: Metric vs. Palatini Formulations
• LambdaCDM epoch reconstruction from F(R,G) and modified Gauss-Bonnet gravities
• Quintessence and phantom cosmology with non-minimal derivative coupling
• Recent Advances on Inflation
• Crossing of the phantom divide in modified gravity
• Bouncing cosmology with future singularity from modified gravity
• On the $\Lambda$CDM Universe in $f(G)$ gravity
• Bouncing Loop Quantum Cosmology from $F(T)$ gravity
• Brans-Dicke Scalar Field as a Chameleon
• Cosmological dynamics of non-minimally coupled scalar field system and its late time cosmic relevance
• Selected topics in scalar-tensor theories and beyond
• Quintessential inflation with canonical and noncanonical scalar fields and Planck 2015 results
• Arbitrary scalar field and quintessence cosmological models
• Unification of inflation and dark energy {\it à la} quintessential inflation
• Realistic cosmological scenario with non-minimal kinetic coupling
• Deceleration versus Acceleration Universe in Different Frames of $F(R)$ Gravity
• F(R) cosmology in presence of a phantom fluid and its scalar-tensor counterpart:towards a unified precision model of the universe evolution
• A special exact spherically symmetric solution in f(T) gravity theories
• A Built-in Inflation in the $f(T)$-Cosmology
• Pure kinetic k-essence as the cosmic speed-up
• Non-minimal quintessence and phantom with nearly flat potentials
• A quantitative analysis of singular inflation with scalar-tensor and modified gravity
• Anisotropic Strange Quintessence Stars in $f(R)$ Gravity
• Notes on dark energy interacting with dark matter and unparticle in loop quantum cosmology
• F(T) gravity and k-essence
• Cardy-Verlinde formula in FRW Universe with inhomogeneous generalized fluid and dynamical entropy bounds near the future singularity
• Late-time cosmology of scalar-tensor theories with universal multiplicative coupling between the scalar field and the matter Lagrangian
• On the possibility of blue tensor spectrum within single field inflation
• Unveiling the Dynamics of the Universe
• Spherically Symmetric Solutions on a Non-Trivial Frame in f(T) Theories of Gravity
• Renormalization-group inflationary scalar electrodynamics and SU(5) scenarios confronted with Planck2013 and BICEP2 results
• Cosmological constraints of phantom dark energy models
• From Big to Little Rip in modified F(R,G) gravity
• Schwarzschild solution in extended teleparallel gravity
• Modelling and testing the equation of state for (Early) dark energy
• Cosmology of F(T) gravity and k-essence
• Reconstruction of quintessence field for the THDE with swampland correspondence in $f(R,T)$ gravity
• Global stability analysis for cosmological models with non-minimally coupled scalar fields
• Dynamics of a two scalar field cosmological model with phantom terms
• Dark matter-dark energy interaction for a time-dependent equation of state
• Exact Solutions in Chiral Cosmology
• Dark energy interactions near the galactic centre
• Non-Minimally Gravity-Coupled Inflationary Models
• Modified f(R) gravity from scalar-tensor theory and inhomogeneous EoS dark energy
• Inflation in mimetic f(G) gravity
• Reconstruction of Scalar Potentials in Modified Gravity Models
• Possible antigravity regions in $F(R)$ theory?
• New Exact Spherically Symmetric Solutions in $f(R,\varphi ,X)$ gravity by Noether's symmetry approach
• Reconstructing the dark energy potential
• Spotting deviations from R^2 inflation
• Observational constraints on cosmological future singularities
• Preventing eternality in phantom inflation
• Gauss-Bonnet Chameleon Mechanism of Dark Energy
• Observational constraints on Yukawa cosmology and connection with black hole shadows
• Constant roll inflation in multifield models
• Hamilton-Jacobi formalism for inflation with non-minimal derivative coupling
• Reconstruction of a Nonminimal Coupling Theory with Scale-invariant Power Spectrum
• Revisiting Fractional Cosmology
• Reconstructing the potentials for the quintessence and tachyon dark energy, from the holographic principle
• The Einstein dark energy model
• Searching for dynamical black holes in various theories of gravity
• Breakdown of the initial value formulation of scalar-tensor gravity and its physical meaning
• General slow-roll inflation in $f(R)$ gravity under the Palatini approach
• Phantom Inflation in Little Rip
• Cosmological evolution, future singularities, Little Rip and Pseudo-Rip in viable f(R) theories and their scalar-tensor counterpart
• Observational constraints on phantom power-law cosmology
• Equations of State in the Brans-Dicke cosmology
• Understanding the origin of CMB constraints on Dark Energy
• String Inspired Quintom Model with Non-minimally Coupled Modified Gravity
• Dark matter signatures of black holes with Yukawa potential
• Intermediate accelerated solutions as generic late-time attractors in a modified Jordan-Brans-Dicke theory
• Equivalence of $f(Q)$ cosmology with quintom-like scenario: the phantom field as effective realization of the non-trivial connection
• The unification of inflation and late-time acceleration in the frame of $k$-essence
• Scalar-tensor theory with Lagrange multipliers: a way of understanding the cosmological constant problem, and future singularities
• Singular deformations of nearly $R^2$ inflation potentials
• Radion induced inflation on non-flat brane and modulus stabilization
• Cosmic evolution in f(T) gravity theory
• Stringent Pulsar Timing Bounds on Light Scalar Couplings to Matter
• Phantom Inflation with A Steplike Potential
• Ekpyrotic universes in $F(R)$ Hořava-Lifshitz gravity
• What is needed of a scalar field if it is to unify inflation and late time acceleration ?
• Vector dark energy models with quadratic terms in the Maxwell tensor derivatives
• Wormholes and Naked Singularities in Brans-Dicke cosmology
• Cosmic acceleration and de Sitter expansion in hybrid mass varying neutrino model
• Brans--Dicke cosmology does not have the $\Lambda$CDM phase as an universal attractor
• Reconstruction of f(R) models with Scale-invariant Power Spectrum
• Charged Black Holes with Yukawa Potential
• Exact cosmological solutions of models with an interacting dark sector
• Time-averaging axion-like interacting scalar fields models
• Generalized Scalar Field Cosmologies: A Global Dynamical Systems Formulation
• Generalized scalar field cosmologies: theorems on asymptotic behavior
• Stability of a modified Jordan-Brans-Dicke theory in the dilatonic frame
• Dynamical description of a quintom cosmological model nonminimally coupled with gravity
• Averaging Generalized Scalar Field Cosmologies I: Locally Rotationally Symmetric Bianchi III and open Friedmann-Lemaître-Robertson-Walker models
• Exact Solutions and Accelerating Universe in Modified Brans-Dicke Theories
• Further Refining Swampland dS Conjecture in Mimetic f(G) Gravity
• Inflation as an attractor in scalar cosmology
• Jacobi stability analysis of scalar field models with minimal coupling to gravity in a cosmological background
• Quintom fields from chiral K-essence cosmology
• A Study of Black Holes in $F(R)-$ModMax Gravity: Gravitational Lensing and Constraints from EHT Observations
• Analytic solutions in Einstein-aether scalar field cosmology
• Parametrizing the transition to the phantom epoch with Supernovae Ia and Standard Rulers
• Cosmic Variation of Proton to Electron Mass Ratio with an interacting Higgs Scalar Field
• Two-Fluid Viscous Modified Gravity on a RS Brane
• Thawing in a coupled quintessence model
• Fractional Einstein-Gauss-Bonnet scalar field cosmology
• Cosmological perturbations in transient phantom inflation scenarios
• Brans-Dicke Galileon and the Variational Principle
• The Chameleon Effect in the Jordan Frame of the Brans--Dicke Theory
• Scalar-field Pressure in Induced Gravity with Higgs Potential and Dark Matter
• Holographic reconstruction of the k-essence and dilaton models
• Collapsing scenarios of K-essence generalized Vaidya spacetime under $f(\bar{R},\bar{T})$ gravity
• Reconstructions of $f(\mathcal{P})$ and $f(\mathcal{Q})$ gravity models from $(m,n)$-type Barrow Holographic Dark Energy: Analysis and Observational Constraints
• Reconstructing the Universe Evolution from Loop Quantum Cosmology Scalar Fields
• Cosmological effects on $f(\bar{R},\bar{T})$ gravity through a non-standard theory
• Non-Minimal Quintessence With Nearly Flat Potential
• Scalar field evolution at background and perturbation levels for a broad class of potentials
• Anisotropic Born-Infeld-f(R) Cosmologies
• Deformation of the quintom cosmological model and its consequences
• Reconstruction from scalar-tensor theory and the inhomogeneous equation of state in f(T) Gravity
• Stability analysis of agegraphic dark energy in Brans-Dicke cosmology
• Non-minimal coupling of the phantom field and cosmic acceleration
• Loop Quantum Cosmology Scalar Field Models
• On Friedmann-Lema\^ıtre-Robertson-Walker cosmologies in non-standard gravity
• Backreaction mechanism in multifluid and extended cosmologies
• Schwinger-Keldysh mechanism in extended quasi single field inflation
• A reconstruction method for anisotropic universes in unimodular $F(R)$-gravity
• Cosmological scenarios from multiquintessence
• Polarization and speed of gravitational waves in hybrid metric-Palatini f(R)-gravity
• Interplay between Swampland and Bayesian Machine Learning in constraining cosmological models
• Type IV singular bouncing cosmology from $f(T)$ Gravity
• $f(R)$ Dual Theories of Quintessence : Expansion-Collapse Duality
• Eternal vs singular observers in interacting dark energy-dark matter models
• Cosmic Steps in Modeling Dark Energy
• Reconstructing exact scalar-tensor cosmologies via conformal transformations
• Constraining the runaway dilaton and quintessential dark energy
• Reconstructions of Einstein-Aether Gravity from Barrow Agegraphic and New Barrow Agegraphic Dark Energy models: Examinations and Observational Limits
• New method of exponential potentials reconstruction based on given scale factor in phantonical two-field models
• The generalized second law of thermodynamics in f(R) gravity for various choices of scale factor
• Scalar-Tensor theories and current Cosmology
• Exact Solutions and Constraints on the Dark Energy Model in FRW Universe
• Cosmology and stability in scalar tensor bigravity with non-minimal kinetic coupling gravity
• Inflation constraints for classes of f(R) models
• Boundary terms and Brown-York quasi-local parameters for scalar-tensor theory: a study on both timelike and null hypersurfaces
• Anisotropic power-law inflation for the Sáez-Ballester theory non-minimally coupled to a vector field
• On the Viability of a Non-Analytical f(R)-Theory
• Some aspects of modified theory of gravity in Palatini formalism unveiled
• Dark energy without fine tuning
• A Note on Gravitational Memory in F(R)-theories and their Equivalent Scalar-Tensor Theories
• Extremal cosmological black holes in Horndeski gravity and the anti-evaporation regime
• Dark energy from a geometrical gauge scalar-tensor theory of gravity
• Quantum Quintom Cosmology
• Massive spin zero fields in cosmology and the tail-free property
• Modeling the quantum evolution of the universe through classical matter