A bird's eye view of f(R)-gravity

Abstract

We survey the landscape of $f(R)$ theories of gravity in their various formulations, which have been used to model the cosmic acceleration as alternatives to dark energy and dark matter. Besides, we take into account the problem of gravitational waves in such theories. We discuss some successes of $f(R)$-gravity (where $f(R)$ is a generic function of Ricci scalar $R$), theoretical and experimental challenges that they face in order to satisfy minimal criteria for viability.

28 pages, 4 figures, Invited Review for The Special Issue in Cosmology, The Open Astronomy Journal, Eds. S.D. Odintsov et al

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Cited by in corpus (89)

• Teleparallel Gravity: From Theory to Cosmology
• The Mass-Radius relation for Neutron Stars in $f(R)$ gravity
• Non-singular exponential gravity: a simple theory for early- and late-time accelerated expansion
• The Pioneer Anomaly
• Scaling attractors in interacting teleparallel dark energy
• Gravitational Waves in Modified Teleparallel Theories
• Modified Gauss-Bonnet gravity with Lagrange multiplier constraint as mimetic theory
• Finite-time singularities in f(R, T) gravity and the effect of conformal anomaly
• Dynamical system analysis of generalized energy-momentum-squared gravity
• Cosmographic reconstruction of $f(\mathcal{T})$ cosmology
• Thermodynamics in $f(R)$ gravity in the Palatini formalism
• Updated constraints on $f(\mathcal{R})$ gravity from cosmography
• Constraining $f(R)$ gravity by the Large Scale Structure
• Epicyclic frequencies in static and spherically symmetric wormhole geometries
• Viable Mimetic Completion of Unified Inflation-Dark Energy Evolution in Modified Gravity
• Quark Stars in $f(T,\mathcal{T})-$Gravity
• Spherically symmetric black holes in $f(R)$ gravity: Is geometric scalar hair supported ?
• MOND-like Fractional Laplacian Theory
• Recovering MOND from extended metric theories of gravity
• Influence of Electric Charge and Modified Gravity on Density Irregularities
• Ghost-Free $F(R)$ Gravity with Lagrange Multiplier Constraint
• Stability of f(R) black holes
• Instability of rotating black hole in a limited form of $f(R)$ gravity
• Numerical solutions of the modified Lane-Emden equation in f(R)-gravity
• Sub-millimeter Spatial Oscillations of Newton's Constant: Theoretical Models and Laboratory Tests
• Oscillations of the F(R) dark energy in the accelerating universe
• Quasinormal modes of compact objects in alternative theories of gravity
• A novel teleparallel dark energy model
• New Models of f(R) Theories of Gravity
• On Gravitational Radiation in Quadratic $f(R)$ Gravity
• QCD ghost f(T)-gravity model
• On the Kuzmin model in fractional Newtonian gravity
• Cosmology with Scalar-Euler form Coupling
• Stability analysis of f(R)-AdS black holes
• Constraints on Energy Momentum Squared Gravity from cosmic chronometers and Supernovae Type Ia data
• Filtering out the cosmological constant in the Palatini formalism of modified gravity
• Constraining alternative theories of gravity using GW$150914$ and GW$151226$
• Action Growth in $f\left(R\right)$ Gravity
• Non-Local Curvature and Gauss-Bonnet Cosmologies by Noether Symmetries
• Exact Solutions in Higher-Dimensional Lovelock and $Ad{S}_5$ Chern-Simons Gravity
• Note About Hamiltonian Formalism of Modified $F(R)$ Hořava-Lifshitz Gravities and Their Healthy Extension
• Non-singular modified gravity: the unification of the inflation, dark energy and dark mater
• Spherically symmetric solution of $f(R,\mathcal{G})$ gravity at low energy
• Thermodynamics of Evolving Lorentzian Wormholes at Apparent Horizon in $f(R)$ Theory of Gravity
• Dynamics of viscous cosmologies in the full Israel-Stewart formalism
• Phase-space of flat Friedmann-Robertson-Walker models with both a scalar field coupled to matter and radiation
• Scalar Field Assisted $f(R)$ Gravity Inflation
• A cosmological dust model with extended f(chi) gravity
• Generalized Uncertainty Principle and Black Holes in Higher Dimensional Self-Complete Gravity
• The Affine Structure of Gravitational Theories: Symplectic Groups and Geometry
• Observational Constraints on the Normal Branch of a Warped DGP Cosmology
• Cosmological Density Perturbations with a Scale-Dependent Newton's G
• Little Rip and Pseudo Rip Phenomena from Coupled Dark Energy
• Gravity generated by four one-dimensional unitary gauge symmetries and the Standard Model
• The regular cosmic string in Born-Infeld gravity
• A new approach to cosmological perturbations in f(R) models
• Rotating Killing horizons in generic $F(R)$ gravity theories
• Entropy of black hole in the infinite-derivative gravity
• Dynamical Couplings, Dynamical Vacuum Energy and Confinement/Deconfinement from R^2-Gravity
• Gravitational waves from inspiraling black holes in quadratic gravity
• The cosmological constant filter without big bang singularity
• Cosmological dynamics of f(R) models in dynamical system analysis
• Reflections on Cosmology: an Outsider's Point of View
• Cosmological production of black holes: a way to constrain alternative theories of gravity
• A numerical approach to model independently reconstruct $f(R)$ functions through cosmographic data
• Note About Equivalence of F(R) and Scalar Tensor Horava-Lifshitz Gravities
• Turnaround physics beyond spherical symmetry
• A class of simple bouncing and late-time accelerating cosmologies in f(R) gravity
• Late-times asymptotic equation of state for a class of nonlocal theories of gravity
• Phenomenological models of Universe with varying $G$ and $\Lambda$
• Scalar tachyonic instabilities in gravitational backgrounds: Existence and growth rate
• Weyl Geometries and Timelike Geodesics
• Solar system tests and neutron stars in $f(R)$ gravity revisited
• A study on causality in $f(R,\varphi ,X)$ theory
• Horizons and singularity in Clifton's spherical solution of f(R) vacuum
• Noether Symmetries and Covariant Conservation Laws in Classical, Relativistic and Quantum Physics
• PPN limit and cosmological gravitational waves as tools to constrain f(R)-gravity
• Modified $f(R)$ Gravity and Thermodynamics of Time-Dependent Wormholes at Event Horizon
• Extending cosmology: the metric approach
• Study of cylindrically symmetric solutions in metric f(R) gravity with constant R
• Cosmological dynamics with modified induced gravity on the normal DGP branch
• Stability of Differentially Rotating Disks in $f(T)$ Theory
• Toward a theory of curvature-scaling gravity
• About Boundary Terms in Higher Order Theories
• Gravity, Nonlinear Gauge Fields and Charge Confinement/Deconfinement
• CMB Tensor Anisotropies in f(R) Gravity
• Ostrogradsky instability and Born-Infeld modified cosmology in Palatini formalism
• The Compactification Problems of Additional Dimensions in Multidimensional Cosmological Theories
• $\Lambda$CDM, $\Lambda$DGP and extended phantom-like cosmologies