Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe

Abstract

We develop the general scheme for modified $f(R)$ gravity reconstruction from any realistic FRW cosmology. We formulate several versions of modified gravity compatible with Solar System tests where the following sequence of cosmological epochs occurs: a. matter dominated phase (with or without usual matter), transition from decceleration to acceleration, accelerating epoch consistent with recent WMAP data b. $\Lambda$CDM cosmology without cosmological constant. As a rule, such modified gravities are expressed implicitly (in terms of special functions) with late-time asymptotics of known type (for instance, the model with negative and positive powers of curvature). In the alternative approach, it is demonstrated that even simple versions of modified gravity may lead to the unification of matter dominated and accelerated phases at the price of the introduction of compensating dark energy.

LaTeX file, 12 pages, discussion is extended, version to appear Physical review D

References in corpus (52)

• Cosmological parameters from SDSS and WMAP
• Is Cosmic Speed-Up Due to New Gravitational Physics?
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• Curvature Quintessence
• Modified Gauss-Bonnet theory as gravitational alternative for dark energy
• Properties of singularities in (phantom) dark energy universe
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• Can modified gravity explain accelerated cosmic expansion?
• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• Gauss-Bonnet dark energy
• Reconciling dark energy models with f(R) theories
• One-loop f(R) gravity in de Sitter universe
• Modified gravity with $\ln R$ terms and cosmic acceleration
• Where new gravitational physics comes from: M-theory?
• Observational constraints on dark energy with generalized equations of state
• Post-Newtonian constraints on f(R) cosmologies in Palatini formalism
• Post-Newtonian constraints on f(R) cosmologies in metric formalism
• Covariant conservation of energy momentum in modified gravities
• Spherically symmetric solutions of modified field equations in f(R) theories of gravity
• The Power of General Relativity
• Consistent modified gravity: dark energy, acceleration and the absence of cosmic doomsday
• The dS/CFT Correspondence and the Big Smash
• Dark Energy: the equation of state description versus scalar-tensor or modified gravity
• Cosmological perturbations in the Palatini formulation of modified gravity
• Entropy and universality of Cardy-Verlinde formula in dark energy universe
• The stability of modified gravity models
• Cosmological constraints on f(R) gravity theories within the Palatini approach
• Solar System experiments do not yet veto modified gravity models
• PPN-limit of Fourth Order Gravity inspired by Scalar-Tensor Gravity
• The Force of Gravity from a Lagrangian containing Inverse Powers of the Ricci Scalar
• The Newtonian limit at intermediate energies
• Accelerated Cosmological Models in First-Order Non-Linear Gravity
• Cosmological Evolution in 1/R-Gravity Theory
• Viability of f(R) Theories with Additional Powers of Curvature
• The nearly Newtonian regime in Non-Linear Theories of Gravity
• Cosmic Acceleration and Modified Gravitational Models
• Constraining Inverse Curvature Gravity with Supernovae
• Post-Newtonian Parameters from Alternative Theories of Gravity
• f(R) theories of gravity in Palatini approach matched with observations
• Unification of inflation and cosmic acceleration in the Palatini formalism
• Newtonian limit of the singular f(R) gravity in the Palatini formalism
• Gravitational potential in Palatini formulation of modified gravity
• On the Newtonian limit of Generalized Modified Gravity Models
• Cosmological expansion and the uniqueness of gravitational action
• Accelerated Cosmological Models in Modified Gravity tested by distant Supernovae SNIa data
• Crossing of the w=-1 barrier in viscous modified gravity
• Acceleration of the universe in the Einstein frame of a metric-affine f(R) gravity
• Palatini formulation of the $R^{-1}$modified gravity with an additionally squared scalar curvature term
• An alternative explanation of the conflict between 1/R gravity and solar system tests
• AdS and stabilized extra dimensions in multidimensional gravitational models with nonlinear scalar curvature terms 1/R and R^4
• Crossing of the w=-1 Barrier in Two-Fluid Viscous Modified Gravity
• Charged black holes in quadratic gravity

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• Perfect fluid and F(T) gravity descriptions of inflationary universe and comparison with obervational data
• Density perturbations in $f(R,\varphi )$-gravity with an application to the (varying power)-law model
• A Non-static Quantum inspired Spacetime in $f(R)$ Gravity: Gravity's Rainbow
• Dynamics of Bianchi $V{I}_h$ Universe with Bulk Viscous Fluid in Modified Gravity
• A cosmological scenario from the Starobinsky model within the $f(R,T)$ formalism
• Does black hole continuum spectrum signal f(R) gravity in higher dimensions?
• Cosmological Dynamics of Modified Gravity With a Non-minimal Curvature-matter Coupling
• Vacuum Solution of a Linear Red-Shift Based Correction in $f(R)$ Gravity
• New mechanism to cross the phantom divide
• A new class of holographic dark energy models in LRS Bianchi Type-I
• Gravitational collapse in non-minimally coupled gravity: finite density singularities and the breaking of the no-hair theorem
• Stability of Schwarzschild-$f(R)$ gravity thin-shell wormholes
• Observational tests of a two parameter power-law class modified gravity in Palatini formalism
• Crossing the phantom divide line in universal extra dimensions
• Emergent Universe in the Braneworld Scenario
• Vanishing Cosmological Constant in Modified Gauss-Bonnet Gravity with Conformal Anomaly
• Static Spherically Symmetric Solution of (R +- μ^4/R) Gravity
• Unified cosmology with Non-minimally coupled scalar-tensor theory of gravity
• Logarithmic entropy corrected holographic dark energy with $F(R,T)$ gravity
• Ricci-Gauss-Bonnet holographic dark energy in Chern-Simons modified gravity: A flat FLRW quintessence-dominated universe
• Exact Cosmological Solutions of $f(R)$ Theories via Hojman Symmetry
• A stable flat entropy-corrected FRW universe
• Note on the Gauss-Bonnet braneworld scenario
• Minisuperspace Quantization of $f\left(T,B\right)$ Cosmology
• Rescaled Einstein-Hilbert Gravity: Inflation and the Swampland Criteria
• Inflation without self-reproduction in $F(R)$ gravity
• Noether symmetry in the Nash theory of gravity
• Universal thermodynamics in different gravity theories: Conditions for generalized second law of thermodynamics and thermodynamical equilibrium on the horizons
• Times of arrival (TOA) of signals in the Kerr-MOG black hole
• Dynamically Generated Inflationary Lambda-CDM
• Cosmic acceleration and $f(R)$ theory: perturbed solution in a matter FLRW model
• Complete density perturbations in the Jordan-Fierz-Brans-Dicke theory
• Cosmological determination to the values of the prefactors in the logarithmic corrected entropy-area relation
• Equivalence Principle (EP) and Solar System Constraints on $R(1\pm \epsilon \ln (\frac{R}{R_c}))$ model of Gravity
• Cosmological Scaling Solutions with Tachyon:Modified Gravity Model
• Cosmological constraints on $\gamma$-gravity models
• Inverse problem - reconstruction of dark energy models
• Emergent Cosmos in Einstein-Cartan Theory
• f(T) Quantum Cosmology
• The 1/c expansion of nonminimally coupled curvature-matter gravity model and constraints from planetary precession
• Two-dimensional Lifshitz-like AdS black holes in $F(R)$ gravity
• Superradiant (In)stability, Greybody Radiation, and Quasinormal Modes of Rotating Black Holes in non-linear Maxwell f (R) Gravity
• The little rip in classical and quantum $f(R)$ cosmology
• Fractional Einstein-Gauss-Bonnet scalar field cosmology
• Oscillatory behavior of closed isotropic models in second order gravity theory
• Data-driven and Almost Model-independent Reconstruction of Modified Gravity
• Classical and quantum $f(R)$ cosmology: The big rip, the little rip and the little sibling of the big rip
• Cosmology in time asymmetric extensions of general relativity
• Stability analysis in Modified Non-Local Gravity
• Multifluid cosmology in f (G) gravity
• Compact relativistic geometries in $f(R,G)$ gravity
• Cosmological Perturbations and Quasi-Static Assumption in $f(R)$ Theories
• Late-time Cosmology of scalar field assisted $f(\mathcal{G})$ gravity
• Impact of curvature based geometric constraints on $F(R)$ theory
• Energy Conditions in Gauss-Bonnet Gravity
• Cosmological effects on $f(\bar{R},\bar{T})$ gravity through a non-standard theory
• Scalar perturbations in cosmological $f(R)$ models: the cosmic screening approach
• Gravitational radiation from binary systems in $f(R)$ gravity: A semi-classical approach
• Higher-order gravity in higher dimensions: Geometrical origins of four-dimensional cosmology?
• Challenges in Constraining Gravity with Cosmic Voids
• Reconstructions of $f(\mathcal{P})$ and $f(\mathcal{Q})$ gravity models from $(m,n)$-type Barrow Holographic Dark Energy: Analysis and Observational Constraints
• Shear-free Anisotropic Cosmological Models in f(R) Gravity
• Anti-Newtonian cosmologies in f(R) gravity
• Thermodynamic aspects of entropic cosmology with viscosity
• Late time cosmic acceleration from natural infrared cutoff?
• Randall-Sundrum limit of f(R) brane-world models
• An extension of the cosmological standard model with a bounded Hubble expansion rate
• Existence of Reissner-Nordstrom type black holes in f(R) gravity
• Cosmology of the interacting Tsallis holographic dark energy in $f(R,T)$ gravity framework
• Kinetic Axion Dark Matter in String Corrected $f(R)$ Gravity
• Modified Bekenstein-Hawking system in $f(R)$ gravity
• Cosmological dynamics of f(R) models in dynamical system analysis
• Reconstructing FHDE with Scalar and Gauge Fields
• Irrotational-fluid cosmologies in fourth-order gravity
• Constraints on a $f(R)$ gravity dark energy model with early scaling evolution
• Tracking the validity of the quasi-static and sub-horizon approximations in modified gravity
• Tests of Relativistic Gravity in Space: Recent Progress and Future Directions
• The Distinguishability of Interacting Dark Energy from Modified Gravity
• Cosmological solutions in spatially curved universes with adiabatic particle production
• A numerical approach to model independently reconstruct $f(R)$ functions through cosmographic data
• Classical Euclidean wormhole solutions in Palatini $f(\tilde{R})$ cosmology
• Cosmological singularity theorems for $f(R)$ gravity theories
• Constraints on the Combined Models with $R^{2-q}$ Inflation and Viable $f(R)$ Dark Energy
• A Note on de Sitter Embedding of $f(R)$ Theories
• Gravastar model in Randall-Sundrum braneworld
• F(R) gravity in purely affine formulation
• Tachyon field inspired dark energy and supernovae constraints
• On Friedmann-Lema\^ıtre-Robertson-Walker cosmologies in non-standard gravity
• Cosmology with higher-derivative matter fields
• Reconstructing modified gravity with holographic vacuum energy density
• On analytical solutions of f(R) modified gravity theories in FLRW cosmologies
• Gauge Issues in Extended Gravity and f(R) Cosmology
• Cosmological Analysis of Reconstructed $\mathcal{F}(T,T_{\mathcal{G}})$ Models
• Modified gravity in a viscous and non-isotropic background
• A reconstruction method for anisotropic universes in unimodular $F(R)$-gravity
• Investigation of Bouncing Universe and Phantom Crossing in Modified Gravity Coupled with Weyl Tensor and its Reconstruction
• Cosmological scenarios from multiquintessence
• Interacting dark energy model in the brane scenario: A Dynamical System Analysis
• Non-linear logarithmic interactions and a varying polytropic gas
• Perturbative approach to $f(R)$-gravitation in FLRW cosmology
• Type IV singular bouncing cosmology from $f(T)$ Gravity
• Reconstruction of $f(R)$ lagrangian from a massive scalar field
• Bondi Accretion in the Spherically Symmetric Johannsen-Psaltis Spacetime
• Cosmological Dark sector from a Mimetic-Metric-Torsion perspective
• Local gravity test of unified models of inflation and dark energy in $f(R)$ gravity
• Mimetic-Metric-Torsion with induced Axial mode and Phantom barrier crossing
• Degeneracies between Modified Gravity and Baryonic Physics
• $f(R)$ Dual Theories of Quintessence : Expansion-Collapse Duality
• Scalar tachyonic instabilities in gravitational backgrounds: Existence and growth rate
• Signatures of Einstein-Maxwell dilaton-axion gravity from the observed quasi-periodic oscillations in black holes
• Novel modulus stabilization mechanism in higher dimensional f(R) Gravity
• Note on Dark Energy and Cosmic Transit in a scale-invariance cosmology
• de Sitter field equations from quadratic curvature gravity: A group theoretical approach
• Some cosmological features of 4D Gauss-Bonnet gravity with varying cosmological constant
• Signatures of regular black holes from the quasar continuum spectrum
• Cosmological Issues in $F(T)$ Gravity Theory
• Perturbations of quasi-Newtonian universes in scalar-tensor gravity
• $f(R)$ Gravity and Crossing the Phantom Divide Barrier
• Reconstructions of Einstein-Aether Gravity from Barrow Agegraphic and New Barrow Agegraphic Dark Energy models: Examinations and Observational Limits
• Modified gravity with disappearing cosmological constant
• A Study of Universal Thermodynamics in Massive Gravity: Modified Entropy on the Horizons
• A general method for the construction of stable Galileon models consistent with the Planck data results
• Quasi-Topological Magnetic Brane coupled to Nonlinear Electrodynamics
• Non-commutative and commutative vacua effects in a scalar torsion scenario
• Investigating new forms of gravity-matter couplings in the gravitational field equations
• Late Time Phenomena in $f(T,\mathcal{T})$ Gravity Framework: Role of $H_0$ Priors
• Is scalar-tensor gravity consistent with polytropic stellar models?
• A New Class of Cosmologically `Viable' $f(R)$ Models
• Study of Some Cosmological Parameters for Interacting New Holographic Dark Energy Model in f(T) Gravity
• Behavior of $F(R)$ gravity around a crossing of the phantom divide
• Scalar-tensor cosmologies in a minisuperspace formulation: a case study
• A Cosmological Holographic Reconstruction of f(Q) Theory
• Matter Creation Cosmologies and Accelerated Expansion
• Ghosts in higher derivative Maxwell-Chern-Simon's theory and $\mathcal{P}\mathcal{T}-$symmetry
• Cosmological dynamics with modified induced gravity on the normal DGP branch
• A Matter with an effective EoS interacting with a tachynic field in an accelerating Universe
• Multiple fluid theory of cosmic evolution and its thermodynamic analysis
• Phenomenological modification of horizon temperature
• A non-singular closed bouncing universe without violation of null energy condition
• Minimal parameterizations for modified gravity
• The possibility of a stable flat dark energy-dominated Swiss-cheese Brane-world universe with a deceleration-acceleration transition
• Modified Gravity in the framework of holographic dark energy
• Resembling holographic dark energy with f(R)gravity as scalar field and ghost dark energy with tachyon scalar fields
• Holographic description of $F(R)$ gravity coupled with Axion Dark Matter
• Terrestrial Sagnac delay in scalar-tensor-vector-gravity
• A Viable model for modified gravity
• Quintessence dark energy model in non-linear $f(Q)$ theory with bulk-viscosity
• Thermodynamics of irreversible particle creation phenomena and its cosmological consequence
• Loop-corrected scalar potentials and late-time acceleration in f(R) gravity
• Generalized Second Law of Thermodynamics on the Event Horizon for Interacting Dark Energy
• The Coincidence Problem in Holographic f(R) Gravity
• A Note on Gravitational Memory in F(R)-theories and their Equivalent Scalar-Tensor Theories
• Evolution of the horizons for dark energy universe
• Reconstructing cosmological solutions in F(R) gravity. Towards a unified model of the Universe evolution
• Charged spherically symmetric Taub-NUT black hole solutions in $f(R)$ gravity
• An Infrared Divergence Problem in the cosmological measure theory and the anthropic reasoning
• Density perturbation and cosmological evolution in the presence of magnetic field in $f(R)$ gravity models
• Quasar continuum spectrum disfavors black holes with a magnetic monopole charge
• Spherically Symmetric Potentials in Quadratic $f(R)$ Gravity
• Globally Stable Dark Energy in $F(R)$ Gravity
• $O(d,d)$ symmetry in teleparallel dark energy
• A cyclic cosmological model based on the f(ρ) modified theory of gravity
• Cosmology in the mimetic higher-curvature $f(R,R_{\mu \nu }{R}^{\mu \nu })$ gravity
• Dynamics of quasi de Sitter and linear combination of exponential models in extended gravity
• Linearized Gravity in the Starobinsky Model: Perturbative Deviations from General Relativity
• Thermodynamics, Phase Transitions, and Geodesic Structure of F(R)-Phantom Banados-Teitelboim-Zanelli (BTZ) Black Holes