Connecting early and late universe by $f(R)$ gravity

Abstract

Inflation and dark energy are two of the most relevant aspects of modern cosmology. These different epochs provide the universe is passing through accelerated phases soon after the Big-Bang and at present stage of its evolution. In this review paper, we discuss that both eras can be, in principle, described by a geometric picture, under the standard of $f(R)$ gravity. We give the fundamental physics motivations and outline the main ingredients of $f(R)$ inflation, quintessence and cosmography. This wants to be a quick summary of $f(R)$ paradigm without claiming of completeness.

arXiv comment26 pages, review paper to appear in International Journal of Modern Physics D

References in corpus (99)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• A Universal Density Profile from Hierarchical Clustering
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• The Structure of Cold Dark Matter Halos
• Dynamics of dark energy
• The Cosmological Constant and Dark Energy
• f(R) Theories Of Gravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• f(R) theories
• Extended Theories of Gravity
• Cosmological Constant - the Weight of the Vacuum
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• The Case for a Positive Cosmological Lambda-term
• Cosmology and the Fate of Dilatation Symmetry
• The Cosmological Constant
• Is Cosmic Speed-Up Due to New Gravitational Physics?
• Cosmological Results from High-z Supernovae
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Statefinder -- a new geometrical diagnostic of dark energy
• New Constraints on ${\Omega }_M$, ${\Omega }_{\Lambda }$, and w from an Independent Set of Eleven High-Redshift Supernovae Observed with HST
• Curvature Quintessence
• Disappearing cosmological constant in f(R) gravity
• Can the dark energy equation-of-state parameter w be less than -1?
• Inflation Dynamics and Reheating
• Extra force in $f(R)$ modified theories of gravity
• Exploring the Expanding Universe and Dark Energy using the Statefinder Diagnostic
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Dark Energy
• Measuring the Baryon Acoustic Oscillation scale using the SDSS and 2dFGRS
• The statistics of LCDM Halo Concentrations
• Cosmic Microwave Background Anisotropies
• The Cold Dark Matter Density Perturbation
• Reconstructing Dark Energy
• Conditions for the cosmological viability of f(R) dark energy models
• The Cosmology of Generalized Modified Gravity Models
• Are f(R) dark energy models cosmologically viable ?
• Do consistent $F(R)$ models mimic General Relativity plus $\Lambda$?
• The Large Scale Structure of f(R) Gravity
• Is there Supernova Evidence for Dark Energy Metamorphosis ?
• Prospects for probing the dark energy via supernova distance measurements
• The State of the Dark Energy Equation of State
• 23 High Redshift Supernovae from the IfA Deep Survey: Doubling the SN Sample at z>0.7
• Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints
• Finite-time future singularities in modified Gauss-Bonnet and $\mathcal{F}(R,G)$ gravity and singularity avoidance
• A Parameterized Post-Friedmann Framework for Modified Gravity
• Reconstructing the Cosmic Equation of State from Supernova distances
• Future of the universe in modified gravitational theories: Approaching to the finite-time future singularity
• Approaches to Understanding Cosmic Acceleration
• The case for dynamical dark energy revisited
• Comparison of the Legacy and Gold SnIa Dataset Constraints on Dark Energy Models
• Cosmography: Cosmology without the Einstein equations
• Dynamics of Linear Perturbations in f(R) Gravity
• Dark Energy and Dark Gravity
• Modified gravity models of dark energy
• Dark matter as a geometric effect in f(R) gravity
• Cosmography and constraints on the equation of state of the Universe in various parametrizations
• Stability of Cosmological Solution in f(R) Models of Gravity
• Precision cosmography with stacked voids
• Cosmographic analysis of the equation of state of the universe through Padé approximations
• The stability of modified gravity models
• Viable f(T) models are practically indistinguishable from LCDM
• Solar System experiments do not yet veto modified gravity models
• Cosmographic bounds on the cosmological deceleration-acceleration transition redshift in $f(\mathcal{R})$ gravity
• Hamiltonian dynamics and Noether symmetries in Extended Gravity Cosmology
• f(R) gravity theories in Palatini formalism: cosmological dynamics and observational constraints
• Constraining Interactions in Cosmology's Dark Sector
• Ghosts, Instabilities, and Superluminal Propagation in Modified Gravity Models
• Modified-Source Gravity and Cosmological Structure Formation
• Expansion History with Decaying Vacuum: A Complete Cosmological Scenario
• Crossing of the phantom divide in modified gravity
• Precision cosmology with Padé rational approximations: theoretical predictions versus observational limits
• Stability of the Einstein static universe in f(R) gravity
• Complete Cosmic History with a dynamical Lambda(H) term
• Generalized virial theorem in f(R) gravity
• Aspects of cosmological expansion in F(R) gravity models
• Dark energy and dust matter phases from an exact $f(R)$-cosmology model
• Observational constraints on viable f(R) parametrizations with geometrical and dynamical probes
• Cosmographic Hubble fits to the supernova data
• Hubble expansion and structure formation in the "running FLRW model" of the cosmic evolution
• Can we be tricked into thinking that w is less than -1?
• Cosmographic Constraints and Cosmic Fluids
• Constraints and analytical solutions of $f(R)$ theories of gravity using Noether symmetries
• Can f(R) Modified Gravity Theories Mimic a LCDM Cosmology?
• Natural Quintessence?
• Theory of gravitation theories: a no-progress report
• A test for cosmic distance duality
• Cosmographic reconstruction of $f(\mathcal{T})$ cosmology
• Entropic-force dark energy reconsidered
• Updated constraints on $f(\mathcal{R})$ gravity from cosmography
• Confronting Dark Energy Models using Galaxy Cluster Number Counts
• Nonflat time-variable dark energy cosmology
• High redshift cosmography: new results and implication for dark energy
• Theoretical tools for CMB physics
• Screening of cosmological constant for De Sitter Universe in non-local gravity, phantom-divide crossing and finite-time future singularities
• Holographic dark matter and dark energy with second order invariants
• Beyond H_0 and q_0: Cosmology is no longer just two numbers
• Cosmic distance duality and cosmic transparency

Cited by in corpus (34)

• Extended Gravity Cosmography
• Cosmological perfect-fluids in f(R) gravity
• Singular Inflationary Universe from $F(R)$ Gravity
• $f(\mathcal{G},T_{\alpha \beta }{T}^{\alpha \beta })$ Theory and Complex Cosmological Structure
• $f(R)$ gravity solutions for evolving wormholes
• Interpretation of complexity for spherically symmetric fluid composition within the context of modified gravity theory
• Orthogonal splitting of the Riemann curvature tensor and its implications in modeling compact stellar structures
• Strong energy condition and the repulsive character of f(R) gravity
• Modified Einstein's gravity to probe the sub- and super-Chandrasekhar limiting mass white dwarfs: a new perspective to unify under- and over-luminous type Ia supernovae
• Early and late time cosmology: the $f(R)$ gravity perspective
• Dark Energy Oscillations in Mimetic $F(R)$ Gravity
• Gravitational waves in Einstein-Æther theory and generalized TeVeS theory after GW170817
• Modeling Transit Dark Energy in $f(R,L_m)$-gravity
• Singular $F(R)$ Cosmology Unifying Early and Late-time Acceleration with Matter and Radiation Domination Era
• String duality transformations in $f(R)$ gravity from Noether symmetry approach
• Tracing the cosmic history by Gauss-Bonnet gravity
• On possible wormhole solutions supported by non-commutative geometry within $f(R,L_m)$ gravity
• Dark Energy and Equation of State Oscillations with Collisional Matter Fluid in Exponential Modified Gravity
• Transit String Dark Energy Models in $f(Q)$ Gravity
• On the covariant formalism of the effective field theory of gravity and its cosmological implications
• A viable logarithmic f(R) model for inflation
• Quintessence-like features in the late-time cosmological evolution of $f(Q)$ symmetric teleparallel gravity
• Bounding $f(R)$ gravity by particle production rate
• Perspectives on constraining a cosmological constant-type parameter with pulsar timing in the Galactic Center
• Inflation without self-reproduction in $F(R)$ gravity
• Dynamically Generated Inflationary Lambda-CDM
• Quantum Hair During Gravitational Collapse
• A bridge between unified cosmic history by $f(R)$-gravity and BIonic system
• Simple cosmological model with inflation and late times acceleration
• Cosmic scenarios in $f(R)$ gravity: a complete evolution
• Effect of some modified models of gravity on the radial velocity of binary systems
• Mass decomposition of SLACS lens galaxies in Weyl conformal gravity
• Gravitational waves in minimal Maxwell $f(R)$ gravity
• Holographic description of $F(R)$ gravity coupled with Axion Dark Matter