Dark Energy: the equation of state description versus scalar-tensor or modified gravity

Abstract

Dark energy dynamics of the universe can be achieved by equivalent mathematical descriptions taking into account generalized fluid equations of state in General Relativity, scalar-tensor theories or modified F(R) gravity in Einstein or Jordan frames. The corresponding technique transforming equation of state description to scalar-tensor or modified gravity is explicitly presented. We show that such equivalent pictures can be discriminated by matching solutions with data capable of selecting the true physical frame.

LaTeX file, 10 pages, 3 figures, the fit of two equivalent models with observational data is added, new references

Cited by in corpus (98)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography 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
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• 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
• String-inspired Gauss-Bonnet gravity reconstructed from the universe expansion history and yielding the transition from matter dominance to dark energy
• The Newtonian Limit of F(R) gravity
• 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
• The new form of the equation of state for dark energy fluid and accelerating universe
• de Sitter space and the equivalence between f(R) and scalar-tensor gravity
• Conformal transformation in $f(T)$ theories
• Challenges for scaling cosmologies
• Classifying and avoiding singularities in the alternative gravity dark energy models
• The oscillating dark energy: future singularity and coincidence problem
• Parametrizations of the Dark Energy Density and Scalar Potentials
• Physical non-equivalence of the Jordan and Einstein frames
• Reconstructing the Distortion Function for Nonlocal Cosmology
• Observational constraints on the dark energy and dark matter mutual coupling
• On the way from matter-dominated era to dark energy universe
• The phase space view of f(R) gravity
• Modified gravity as an alternative for Lambda-CDM cosmology
• Dark energy, inflation and dark matter from modified F(R) gravity
• Cosmological dynamics of Scalar--Tensor Gravity
• Initial and final de Sitter universes from modified $f(R)$ gravity
• Finite-time Cosmological Singularities and the Possible Fate of the Universe
• Cosmic history of viable exponential gravity: Equation of state oscillations and growth index from inflation to dark energy era
• Can f(R) Modified Gravity Theories Mimic a LCDM Cosmology?
• Running vacuum in quantum field theory in curved spacetime: renormalizing ${\rho }_{vac}$ without $\sim m^4$ terms
• Van der Waals quintessence stars
• Solar system constraints on R${}^n$ gravity
• Delicate f(R) gravity models with disappearing cosmological constant and observational constraints on the model parameters
• Neutrino mixing as a source of dark energy
• Perturbative Quantum Gravity Comes of Age
• Inflationary Perturbations in Palatini Generalised Gravity
• Reconstructing f(R) modified gravity from ordinary and entropy-corrected versions of the holographic and new agegraphic dark energy models
• Astronomical bounds on future big freeze singularity
• Cardy-Verlinde formula in FRW Universe with inhomogeneous generalized fluid and dynamical entropy bounds near the future singularity
• Stationary vs. singular points in an accelerating FRW cosmology derived from six-dimensional Einstein-Gauss-Bonnet gravity
• A general solution in the Newtonian limit of f(R)- gravity
• Non-vacuum Solutions of Bianchi Type VI_0 Universe in f(R) Gravity
• Reconstruction Procedure in Nonlocal Cosmological Models
• Multiple Lambda cosmology: dark fluid with time-dependent equation of state as classical analog of cosmological landscape
• Reconstruction of Scalar Potentials in Modified Gravity Models
• Scalar-tensor cosmologies: fixed points of the Jordan frame scalar field
• The Homogeneous Scalar Field and the Wet Dark Sides of the Universe
• A FRW Dark Fluid with a Non-Linear Inhomogeneous Equation of State
• Dark viscous fluid described by a unified equation of state in cosmology
• Revisiting Fractional Cosmology
• Fractional-order derivatives in cosmological models of accelerated expansion
• f(R) Gravities à la Brans-Dicke
• Breakdown of the initial value formulation of scalar-tensor gravity and its physical meaning
• Constraining viscous dark energy models with the latest cosmological data
• Dynamical Systems analysis of an interacting dark energy model in the Brane Scenario
• Crossing the Phantom Divide Line in a DGP-Inspired $F(R,\varphi )$-Gravity
• Correspondence between Jordan-Einstein frames and Palatini-metric formalisms
• The WiggleZ Dark Energy Survey: constraining the evolution of Newton's constant using the growth rate of structure
• Testing metric-affine f(R)-gravity by relic scalar gravitational waves
• Modified theory of gravity and the history of cosmic evolution
• Cosmological Einstein-Maxwell model with $g$-essence
• The Kiselev solution in power-Maxwell electrodynamics
• Analytic Electrically Charged Black Holes in $F(R)$-ModMax Theory
• Cosmological evolution with quadratic gravity and nonideal fluids
• Superradiant energy extraction from rotating hairy Horndeski black holes
• New mechanism to cross the phantom divide
• Cosmological dark fluid from five-dimensional vacuum
• Tomographic Representation of Minisuperspace Quantum Cosmology and Noether Symmetries
• The effect of thermal radiation on singularities in the dark universe
• Universal thermodynamics in different gravity theories: Conditions for generalized second law of thermodynamics and thermodynamical equilibrium on the horizons
• f(R) Gravity in an Ellipsoidal Universe
• Withholding Potentials, Absence of Ghosts and Relationship between Minimal Dilatonic Gravity and f(R) Theories
• Parametrizing the transition to the phantom epoch with Supernovae Ia and Standard Rulers
• Hamiltonian formalism in Friedmann cosmology and its quantization
• Parametrization for the Scale Dependent Growth in Modified Gravity
• Manifestly Gauge Invariant Perturbations of Scalar-Tensor Theories of Gravity
• Oscillatory behavior of closed isotropic models in second order gravity theory
• A Critical Assessment of Black Hole Solutions With a Linear Term in Their Redshift Function
• The Effective Fluid approach for Modified Gravity and its applications
• Covariant formulation of refracted gravity
• Scalar field evolution at background and perturbation levels for a broad class of potentials
• New one-parametric extension of the Starobinsky inflationary model
• Tachyon field inspired dark energy and supernovae constraints
• On Friedmann-Lema\^ıtre-Robertson-Walker cosmologies in non-standard gravity
• Dynamical Analysis of an $n-H-T$ Cosmological Quintessence Real Gas Model with a General Equation of State
• $f(R)$ Dual Theories of Quintessence : Expansion-Collapse Duality
• A Study of Universal Thermodynamics in Massive Gravity: Modified Entropy on the Horizons
• Cosmological Reconstructions in Einstein--Cartan--Myrzakulov Gravity with Torsion and Non-Metricity in the Weitzenböck Geometrical Sector
• Low redshift constraints on scalar-tensor theories
• Refracted Gravity Solutions from Small to Large Scales
• Absence of antisymmetric tensor fields : Clue from f(R) model of gravity
• Energy Density Bounds in Cubic Quasi-Topological Cosmology
• f(R) cosmological solutions with varying speed of light
• K-Essence Induced by Derivative Couplings of the Inflaton