Crossing of the phantom divide in modified gravity

Abstract

We reconstruct an explicit model of modified gravity in which a crossing of the phantom divide can be realized. It is shown that the (finite-time) Big Rip singularity appears in the model of modified gravity (i.e., in the so-called Jordan frame), whereas that in the corresponding scalar field theory obtained through the conformal transformation (i.e., in the so-called Einstein frame) the singularity becomes the infinite-time one. Furthermore, we investigate the relations between the scalar field theories with realizing a crossing of the phantom divide and the corresponding modified gravitational theories by using the inverse conformal transformation. It is demonstrated that the scalar field theories describing the non-phantom phase (phantom one with the Big Rip) can be represented as the theories of real (complex) $F(R)$ gravity through the inverse (complex) conformal transformation. We also study a viable model of modified gravity in which the transition from the de Sitter universe to the phantom phase can occur. In addition, we explore the stability for the obtained solutions of the crossing of the phantom divide under a quantum correction coming from conformal anomaly.

34 pages, 4 figures, revised version, accepted in Phys. Rev. D

References in corpus (43)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Dynamics of dark energy
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Cosmological Evolution of a Quintom Model of Dark Energy
• Can dark energy evolve to the Phantom?
• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• Dark energy cosmology from higher-order, string-inspired gravity and its reconstruction
• Future of the universe in modified gravitational theories: Approaching to the finite-time future singularity
• Solar system and equivalence principle constraints on f(R) gravity by chameleon approach
• Phantom scalar dark energy as modified gravity: understanding the origin of the Big Rip singularity
• The future evolution and finite-time singularities in $F(R)$-gravity unifying the inflation and cosmic acceleration
• Dark Energy: the equation of state description versus scalar-tensor or modified gravity
• Reconstructing the universe history, from inflation to acceleration, with phantom and canonical scalar fields
• Cosmology and Astrophysical Constraints of Gauss-Bonnet Dark Energy
• Crossing the Phantom Divide with Parameterized Post-Friedmann Dark Energy
• Dynamical vacuum energy, holographic quintom, and the reconstruction of scalar-field dark energy
• Worse than a big rip?
• Classification of cosmological milestones
• Newton law corrections and instabilities in $f(R)$ gravity with the effective cosmological constant epoch
• Phantom and non-phantom dark energy: The cosmological relevance of non-locally corrected gravity
• Correspondence between Holographic and Gauss-Bonnet dark energy models
• LXCDM: a cosmon model solution to the cosmological coincidence problem?
• Gauss-Bonnet cosmologies: crossing the phantom divide and the transition from matter dominance to dark energy
• Crossing the Phantom Divide
• A String-Inspired Quintom Model Of Dark Energy
• Modified gravity as an alternative for Lambda-CDM cosmology
• Crossing the phantom divide without phantom matter
• Late acceleration and $w=-1$ crossing in induced gravity
• Transition from quintessence to phantom phase in quintom model
• Non-minimally Coupled Quintom Model Inspired by String Theory
• Phantom field dynamics in loop quantum cosmology
• Viscous Dark Cosmology with Account of Quantum Effects
• Constraints on a variable dark energy model with recent observations
• Crossing the phantom barrier with purely kinetic multiple k-essence
• Multiple kinetic k-essence, phantom barrier crossing and stability
• Late-time acceleration and Phantom Divide Line Crossing with Non-minimal Coupling and Lorentz Invariance Violation
• Crossing the phantom divide in brane cosmology with curvature corrections and brane-bulk energy transfer
• Crossing the Phantom Divide Line in a DGP-Inspired $F(R,\varphi )$-Gravity

Cited by in corpus (104)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R) theories
• 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
• f(T) teleparallel gravity and cosmology
• Quintom Cosmology: Theoretical implications and observations
• Dark Energy
• Cosmological reconstruction of realistic modified F(R) gravities
• Inflationary cosmology in modified gravity theories
• Black holes, cosmological solutions, future singularities, and their thermodynamical properties in modified gravity theories
• Reconstruction of $f(T)$ gravity: Rip cosmology, finite-time future singularities and thermodynamics
• Mimetic gravity: a review of recent developments and applications to cosmology and astrophysics
• Model independent constraints on dark energy evolution from low-redshift observations
• Dark Energy with Phantom Crossing and the $H_0$ tension
• Cosmological evolution in exponential gravity
• Phase-space analysis of interacting phantom cosmology
• Dynamical Systems Perspective of Cosmological Finite-time Singularities in $f(R)$ Gravity and Interacting Multifluid Cosmology
• Thermodynamics in $F(R)$ gravity with phantom crossing
• Noether Symmetry Approach in f(R) Tachyon Model
• Generalized Second Law of Thermodynamics in $f(T)$ Gravity with Entropy Corrections
• Singular Inflationary Universe from $F(R)$ Gravity
• Finite-time Cosmological Singularities and the Possible Fate of the Universe
• Thermodynamics in $f(R)$ gravity in the Palatini formalism
• F(R) cosmology in presence of a phantom fluid and its scalar-tensor counterpart:towards a unified precision model of the universe evolution
• The past and future dynamics of quintom dark energy models
• Dynamics of interacting quintessence
• Emergent universe in chameleon, f(R) and f(T) gravity theories
• Statefinder diagnostic and stability of modified gravity consistent with holographic and new agegraphic dark energy
• Connecting early and late universe by $f(R)$ gravity
• Large Scale Structure Constraints for a Class of f(R) Theories of Gravity
• Constraining dark energy with gamma-ray bursts
• Notes on dark energy interacting with dark matter and unparticle in loop quantum cosmology
• Theoretical and observational constraints of viable f(R) theories of gravity
• New holographic reconstruction of scalar field dark energy models in the framework of chameleon Brans-Dicke cosmology
• Generic feature of future crossing of phantom divide in viable $f(R)$ gravity models
• Dark energy: investigation and modeling
• Screening of cosmological constant for De Sitter Universe in non-local gravity, phantom-divide crossing and finite-time future singularities
• Phantom-Like Behavior in $f(R)$-Gravity
• Dark Energy Oscillations in Mimetic $F(R)$ Gravity
• Revisiting f(R) gravity models that reproduce $\Lambda$CDM expansion
• Bright High z SnIa: A Challenge for LCDM?
• Reconstruction of modified gravity with ghost dark energy models
• Crossing of $\omega =-1$ with Tachyon and Non-minimal Derivative Coupling
• Singular $F(R)$ Cosmology Unifying Early and Late-time Acceleration with Matter and Radiation Domination Era
• Reconstruction of a Nonminimal Coupling Theory with Scale-invariant Power Spectrum
• Chaplygin-gas Solutions of f(R) Gravity
• Ghost dark energy in $f(R)$ model of gravity
• Cosmological evolution, future singularities, Little Rip and Pseudo-Rip in viable f(R) theories and their scalar-tensor counterpart
• Equations of State in the Brans-Dicke cosmology
• Phantom-like dark energy from quantum gravity
• Viability of Noether symmetry of F(R) theory of gravity
• String Inspired Quintom Model with Non-minimally Coupled Modified Gravity
• Cosmic Dynamics in $F(R,\varphi )$ Gravity
• Modified GBIG Scenario as an Alternative for Dark Energy
• Alternative mechanism of avoiding the big rip or little rip for a scalar phantom field
• Crossing of Phantom Divide in $F(R)$ Gravity
• Thermodynamics of Spinor Quintom
• Cosmological reconstruction and $\Lambda$CDM universe in $f(Q,C)$ gravity
• Scalar-tensor theory with Lagrange multipliers: a way of understanding the cosmological constant problem, and future singularities
• Reconstructing cosmic acceleration from modified and non-minimal gravity: The Yang-Mills case
• Late Time Cosmological Evolution in f(R) theories with Ordinary and Collisional Matter
• Revisiting the matter power spectra in $f(R)$ gravity
• Crossing the phantom divide line in the Holographic dark energy model in a closed universe
• Reconstruction of f(R) models with Scale-invariant Power Spectrum
• New mechanism to cross the phantom divide
• Cosmological model with linear equation of state parameter in f(R, Lm) gravity
• Canonical and phantom scalar fields as an interaction of two perfect fluids
• Dynamical-Screening and the Phantom-Like Effects in a DGP-Inspired $F(R,\varphi )$ Model
• Superpotential method for $F(R)$ cosmological models
• Stability analysis of the cosmological solutions with induced gravity and scalar field on the brane
• Singular Accelerated Evolution in Massive $F(R)$ Bigravity
• Phantom Behavior Bounce with Tachyon and Non-minimal Derivative Coupling
• Falsifying Field-based Dark Energy Models
• Parametrizing the transition to the phantom epoch with Supernovae Ia and Standard Rulers
• An analytic calculation of the growth index for $f(R)$ dark energy model
• Inverse problem - reconstruction of dark energy models
• Cosmological dynamics of a non-minimally coupled bulk scalar field in DGP setup
• Fractional Einstein-Gauss-Bonnet scalar field cosmology
• Crossing the Phantom Divide in Extended Dvali-Gabadadze-Porrati Gravity
• Stability analysis in Modified Non-Local Gravity
• Phantom-like effects in asymmetric brane embedding with induced gravity and the Gauss-Bonnet term in the Bulk
• Dynamics of Magnetized Bulk Viscous Strings in Brans-Dicke Gravity
• Phantom-Like Behavior of a DGP-Inspired Scalar-Gauss-Bonnet Gravity
• Remarks on (super-)accelerating cosmological models in general scalar-tensor gravity
• Constraints on a $f(R)$ gravity dark energy model with early scaling evolution
• Phantom Divide Crossing with General Non-minimal Kinetic Coupling
• Horizon Complementarity and Casimir Violations of the Null Energy Condition
• Strength of the singularities, equation of state and asymptotic expansion
• Observational Constraints on Phantom Crossing DGP Gravity
• $f(R)$ Gravity and Crossing the Phantom Divide Barrier
• The Friedmann equations in deformed Hořava-Lifshitz gravity and Debye model
• Hawking radiation and thermodynamics of dynamical black holes in phantom dominated universe
• On a class of scaling FRW cosmological models
• Constraints on dark energy evolution
• Cosmological Issues in $F(T)$ Gravity Theory
• Behavior of $F(R)$ gravity around a crossing of the phantom divide
• Equation of state and singularities in FLRW cosmological models
• Crossing the phantom divide with k-essence in brane-worlds
• Supersymmetric Cosmology and Dark Energy
• The cosmological constant from space-time discreteness
• $\Lambda$CDM, $\Lambda$DGP and extended phantom-like cosmologies
• Decoupling Inflation From the String Scale
• Is Dark Energy an Effective Manifestation of Non-equilibrium Thermodynamics? -- Insights from DESI
• Non-singular Bouncing Cosmology in $f(R,G,T)$--Quintom model