Curing singularities in cosmological evolution of F(R) gravity

Abstract

We study $F(R)$ modified gravity models which are capable of driving the accelerating epoch of the Universe at the present time whilst not destroying the standard Big Bang and inflationary cosmology. Recent studies have shown that a weak curvature singularity with $|R|\to \infty$ can arise generically in viable $F(R)$ models of present dark energy (DE) signaling an internal incompleteness of these models. In this work we study how this problem is cured by adding a quadratic correction with a sufficiently small coefficient to the $F(R)$ function at large curvatures. At the same time, this correction eliminates two more serious problems of previously constructed viable $F(R)$ DE models: unboundedness of the mass of a scalar particle (scalaron) arising in $F(R)$ gravity and the scalaron overabundance problem. Such carefully constructed models can also yield both an early time inflationary epoch and a late time de Sitter phase with vastly different values of $R$. The reheating epoch in these combined models of primordial and present dark energy is completely different from that of the old $R+R^2/6M^2$ inflationary model, mainly due to the fact that values of the effective gravitational constant at low and intermediate curvatures are different for positive and negative $R$. This changes the number of e-folds during the observable part of inflation that results in a different value of the primordial power spectrum index.

Discussion expanded, references added, results unchanged, accepted for publication in JCAP. A minor typo in Eq. (2.14) has been corrected

References in corpus (30)

• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Dynamics of dark energy
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• The Standard Model Higgs boson as the inflaton
• Dark Energy and the Accelerating Universe
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Disappearing cosmological constant in f(R) gravity
• Tests of the Gravitational Inverse-Square Law below the Dark-Energy Length Scale
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Reconstructing Dark Energy
• Conditions for the cosmological viability of f(R) dark energy models
• Are f(R) dark energy models cosmologically viable ?
• Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints
• Constraining f(R) Gravity as a Scalar Tensor Theory
• Matter density perturbations and effective gravitational constant in modified gravity models of dark energy
• A Singularity Problem with f(R) Dark Energy
• Relativistic stars in f(R) gravity, and absence thereof
• Cosmological Constraints on f(R) Acceleration Models
• Aspects of cosmological expansion in F(R) gravity models
• The existence of relativistic stars in f(R) gravity
• Initial and final de Sitter universes from modified $f(R)$ gravity
• Can higher curvature corrections cure the singularity problem in f(R) gravity?
• Delicate f(R) gravity models with disappearing cosmological constant and observational constraints on the model parameters
• Vacuum structure for scalar cosmological perturbations in Modified Gravity Models
• Matter instabilities in general Gauss-Bonnet gravity
• A statistical mechanics model for free-for-all airplane passenger boarding
• Anomaly Driven Cosmology: Big Boost Scenario and AdS/CFT Correspondence
• "Detuned" f(R) gravity and dark energy
• f(R) Cosmology from q-Theory
• The growth of matter perturbations in the f(T) gravity

Cited by in corpus (174)

• Modified Gravity and Cosmology
• f(R) theories
• Dark Energy
• f(R, T, R_μνT^μν) gravity phenomenology and ΛCDM universe
• Inflation with a constant rate of roll
• Locally Rotationally Symmetric Bianchi Type $I$ Cosmology in $f(R,T)$ Gravity
• A polynomial f(R) inflation model
• Unifying of Inflation with Early and Late Dark Energy Epochs in Axion $F(R)$ Gravity
• Wormholes in $R^2$-gravity within the $f(R,T)$ formalism
• Cosmological evolution in exponential gravity
• Dynamical behavior in mimetic F(R) gravity
• Notes on wormhole existence in scalar-tensor and F(R) gravity
• Matter Bounce Loop Quantum Cosmology from $F(R)$ Gravity
• Geometric Inflation and Dark Energy with Axion $F(R)$ Gravity
• $f(R)$ constant-roll inflation
• Generalizing the coupling between geometry and matter: $f(R,L_m,T)$ gravity
• Finite-time Cosmological Singularities and the Possible Fate of the Universe
• Cosmological evolution in R^2 gravity
• Generalized Brans-Dicke theories
• Inflation driven by Einstein-Gauss-Bonnet gravity
• Cosmology Based on f(R) Gravity Admits 1 eV Sterile Neutrinos
• Emergent Cosmology, Inflation and Dark Energy
• Some Exact Solutions in $f(\mathcal{G},T)$ Gravity via Noether Symmetries
• Nonommutative wormholes in $f(R)$ gravity
• Spherical collapse and halo mass function in f(R) theories
• Statefinder diagnostic and stability of modified gravity consistent with holographic and new agegraphic dark energy
• Scalar induced gravitational waves from primordial black hole Poisson fluctuations in $f(R)$ gravity
• Dawn of the dark: unified dark sectors and the EDGES Cosmic Dawn 21-cm signal
• Consistency relation for $R^p$ inflation
• Analytic extensions of Starobinsky model of inflation
• Singular Inflation
• Inflation in scale-invariant theories of gravity
• Large Scale Structure Constraints for a Class of f(R) Theories of Gravity
• Explosive phenomena in modified gravity
• Cardy-Verlinde formula in FRW Universe with inhomogeneous generalized fluid and dynamical entropy bounds near the future singularity
• The screening Horndeski cosmologies
• Theoretical and observational constraints of viable f(R) theories of gravity
• Inflation in an effective gravitational model & asymptotic safety
• A simple $F(\mathcal{R},\varphi )$ deformation of Starobinsky inflationary model
• Constant-roll inflation in scalar-tensor gravity
• Starobinsky cosmological model in Palatini formalism
• Keeping the relation between the Starobinsky model and no-scale supergravity ACTive
• Generic feature of future crossing of phantom divide in viable $f(R)$ gravity models
• Wormholes in f(R) gravity with a noncommutative-geometry background
• $f(R,T)=f(R)+\lambda T$ gravity models as alternatives to cosmic acceleration
• Effects of Spatial Curvature on the $f(R)$ Gravity Phase Space: no Inflationary Attractor?
• A Panorama of Viable $F(R)$ Gravity Dark Energy Models
• Future Oscillations around Phantom Divide in f(R) Gravity
• Non-minimal kinetic coupling and the phenomenology of dark energy
• A data-driven Reconstruction of Horndeski gravity via the Gaussian processes
• Reheating after f(R) inflation
• A new approach to the analysis of the phase space of f(R)-gravity
• Non-minimal geometry-matter couplings in Weyl-Cartan space-times: $f(R,T,Q,T_m)$ gravity
• No-go theorem for inflation in Ricci-inverse gravity
• Constraint on reheating after f(R) inflation from gravitational waves
• Kinetic Axion $F(R)$ Gravity Inflation
• Qualitative analysis of Kantowski-Sachs metric in a generic class of $f(R)$ models
• Formation of primordial black holes after Starobinsky inflation
• Ricci Inverse Anisotropic Stellar Structures
• Singular $F(R)$ Cosmology Unifying Early and Late-time Acceleration with Matter and Radiation Domination Era
• Jeans Instability in Classical and Modified Gravity
• Matter Power Spectra in Viable $f(R)$ Gravity Models with Massive Neutrinos
• Evaluation of cosmological models in $f(R,T)$ gravity in different dark energy scenario
• Curvature Singularities from Gravitational Contraction in f(R) Gravity
• f(R) as a dark energy fluid
• Cosmological evolution, future singularities, Little Rip and Pseudo-Rip in viable f(R) theories and their scalar-tensor counterpart
• When is the growth index constant?
• Reheating in 3-form inflation
• Dark Energy and Equation of State Oscillations with Collisional Matter Fluid in Exponential Modified Gravity
• Future singularities if the universe underwent Starobinsky inflation in the past
• Probing $f(R)$ cosmology with sterile neutrinos via measurements of scale-dependent growth rate of structure
• $R^2$ Inflation Revisited and Dark Energy Corrections
• Modified Gravity: the CMB, Weak Lensing and General Parameterisations
• Amplification of the Primordial Gravitational Waves Energy Spectrum by a Kinetic Scalar in $F(R)$ Gravity
• Parameterizing scalar-tensor theories for cosmological probes
• Generic slow-roll and non-gaussianity parameters in $f(R)$ theories
• Non-singular modified gravity: the unification of the inflation, dark energy and dark mater
• Modified arctan-gravity model mimicking a cosmological constant
• Generic f(R) theories and classicality of their scalarons
• Vainshtein mechanism in Gauss-Bonnet gravity and Galileon aether
• Cosmological aspects of $f(R,T)$ gravity in a simple model with a parametrization of $q$
• Generalized non-local $R^2$-like inflation
• Curvature Oscillations in Modified Gravity and High Energy Cosmic Rays
• Unifying Inflation with early and late Dark Energy in Multi-Fields: Spontaneously broken scale invariant TMT
• Energy Bounds in $f(R,G)$ Gravity with Anisotropic Background
• Logarithmic corrected $F(R)$ gravity in the light of Planck 2015
• Cosmological acceleration
• What is the amplitude of the Gravitational Waves background expected in the Starobinsky model ?
• Loop Quantum Cosmology Matter Bounce Reconstruction from $F(R)$ Gravity Using an Auxiliary Field
• Vacuum Structure and Gravitational Bags Produced by Metric-Independent Spacetime Volume-Form Dynamics
• Pole inflation and primordial black holes formation in Starobinsky-like supergravity
• Nonlinear resonant oscillation of gravitational potential induced by ultralight axion in $f(R)$ gravity
• Phantom energy supported wormhole model in $f(R,T)$ gravity assuming conformal motion
• Spherically Symmetric Solutions in F(R) Gravity and Gravitational Repulsion
• Inflation in $F(R)$ gravity models revisited after ACT
• Quantum loop corrections in the modified gravity model of Starobinsky inflation with primordial black hole production
• Improved model of primordial black hole formation after Starobinsky inflation
• Probing dark energy with the next generation X-ray surveys of galaxy clusters
• Modified Gauss-Bonnet Gravity with Radiating Fluids
• Inflation with non-canonical scalar fields revisited
• An updated analysis of two classes of f(R) theories of gravity
• Consequences of f(R)-theories of gravity on gravitational leptogenesis
• Unification of Inflation and Dark Energy from Spontaneous Breaking of Scale Invariance
• Born - Infeld-like modified gravity
• Broken Scale Invariance, Gravity Mass, and Dark Energy in Modified Einstein Gravity with Two Measure Finsler Like Variables
• Particle Production in f(R) Gravity during Structure Formation
• Cosmology based on $f(R)$ gravity with $\mathcal{O}(1)$ eV sterile neutrino
• Curvaton reheating in a Scale Invariant Two Measures Theory
• Withholding Potentials, Absence of Ghosts and Relationship between Minimal Dilatonic Gravity and f(R) Theories
• Hunting dark energy with pressure-dependent photon-photon scattering
• Complete density perturbations in the Jordan-Fierz-Brans-Dicke theory
• f(T) Quantum Cosmology
• Scalaron production in contracting astrophysical objects
• Anisotropic Universe in $f(\mathcal{G},\text{T})$ Gravity
• Polynomial $f(R)$ Palatini cosmology -- dynamical system approach
• Relaxing a large cosmological constant in the astrophysical domain
• Anisotropy effects on Baryogenesis in $f(R)$-Theories of Gravity
• Stability investigations of isotropic and anisotropic exponential inflation in the Starobinsky-Bel-Robinson gravity
• Instability of gravitational baryogenesis with fermions
• Cosmology in nonlocal gravity
• Unscreening scalarons with a black hole
• Reconstruction of the singularity-free $f(\mathcal{R})$ gravity via Raychaudhuri equations
• Isotropic universe with almost scale-invariant fourth-order gravity
• $R^2$ Gravity Effects on the Kinetic Axion Phase Space
• Kinetic Axion Dark Matter in String Corrected $f(R)$ Gravity
• Compact star in noninteger power model of $f(R)$ gravity
• Spherical vacuum and scalar collapse for the Starobinsky R^2 model
• $\gamma$ gravity: Steepness control
• Towards a unified interpretation of the early Universe in $R^2$-corrected dark energy model of $F(R)$ gravity
• Gravitational instability in oscillating background
• Cosmological singularity theorems for $f(R)$ gravity theories
• N-body Simulations of $\gamma$ Gravity
• New one-parametric extension of the Starobinsky inflationary model
• Constrained transit cosmological models in $f(R,L_m,T)$-gravity
• Constraints on the Combined Models with $R^{2-q}$ Inflation and Viable $f(R)$ Dark Energy
• Cosmological constraints on $R^2$-corrected Appleby-Battye model
• Second law of thermodynamics in nonminimally coupled gravity
• Local gravity test of unified models of inflation and dark energy in $f(R)$ gravity
• Notes on Born-Infeld-like modified gravity
• Curvature Singularity in f(R) Theories of Gravity
• Cusp singularities in f(R) gravity: pros and cons
• Viability of Arctan Model of f(R) Gravity for Late-time Cosmology
• Simple cosmological model with inflation and late times acceleration
• Precision predictions of Starobinsky inflation with self-consistent Weyl-squared corrections
• Thermodynamics of $f(R)$ Theories of Gravity
• Logarithmic gravity model
• Viability of general relativity and modified gravity cosmologies using high-redshift cosmic probes
• Self-tuning inflation
• The Impact of $f(\mathcal{G},T)$ Gravity on the Evolution of Cavity in the Cluster of Stars
• Born - Infeld-type modified gravity
• A new model of arcsin-gravity
• f(R) in Holographic and Agegraphic Dark Energy Models and the Generalized Uncertainty Principle
• Observational constraints on models of the Universe with time variable Gravitational and Cosmological constants along MOG
• Interior dynamics of neutral and charged black holes in f(R) gravity
• No Cosmic Rays from Curvature Oscillations during Structure Formation with $F(R)$-gravity
• Cosmic ray production in modified gravity
• Is scalar-tensor gravity consistent with polytropic stellar models?
• Stability investigations of de Sitter inflationary solutions in power-law extensions of the Starobinsky model
• Metric-Independent Volume-Forms in Gravity and Cosmology
• A New f(R) Model in the Light of Local Gravity Test and Late-time Cosmology
• Revisited apparent horizon entropy and GSL in modified gravity
• Cosmological implications and causality in $f(R,L_m,T)$ gravity theory with observational constraints
• Preventing Curvature Singularities in $f(R)$ Dark Energy Models
• Loop-corrected scalar potentials and late-time acceleration in f(R) gravity
• Viable f(R) gravity and future cosmological evolution
• Cosmic expansion history analysis with Hubble parametrization in $Q^n$ gravity
• Some Observable Effects of Modified Gravity in Cosmology and Astrophysics
• Primordial Cosmology of an Emergent-like Universe from Modified Gravity: Reconstruction and Phenomenology Optimization with a Genetic Algorithm
• Novel Stellar Astrophysics from Extended Gravity
• Globally Stable Dark Energy in $F(R)$ Gravity
• Cosmological constraints on viable $f(R)$ models using weak lensing
• Quantum cosmology in teleparallel gravity with a boundary term
• A scan of f(R) models admitting Rindler type acceleration
• Stable massless scalar polarization of f(R) gravity