6+1 lessons from f(R) gravity

Abstract

There has been a recent stimulus in the study of alternative theories of gravity lately, mostly triggered from combined motivation coming from cosmology/astrophysics and high energy physics. Among the proposed theories, one that has attracted much attention is f(R) gravity. It is certainly debatable whether such a simplistic modification of General Relativity can constitute a viable alternative theory of gravitation. However, it is quite straightforward to see the merits of such a theory when viewed as a toy theory whose role is to help us understand the implications and difficulties of beyond-Einstein gravity. Under this perspective, I review some of the main lessons we seem to have learned from the study of f(R) gravity in the recent past.

Talk given at the 13th Conference on Recent Developments in Gravity (NEBXIII), Thessaloniki, Greece, 4-6 Jun 2008

References in corpus (56)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
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• The Cosmological Constant
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• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
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• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
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• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• 1/R gravity and Scalar-Tensor Gravity
• Unifying inflation with LambdaCDM epoch in modified f(R) gravity consistent with Solar System tests
• Avoiding Dark Energy with 1/R Modifications of Gravity
• Reconciling dark energy models with f(R) theories
• Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints
• Where new gravitational physics comes from: M-theory?
• Constraining f(R) Gravity as a Scalar Tensor Theory
• Post-Newtonian constraints on f(R) cosmologies in Palatini formalism
• Post-Newtonian constraints on f(R) cosmologies in metric formalism
• Dark Energy Dominance and Cosmic Acceleration in First Order Formalism
• Extended Gravity Theories and the Einstein-Hilbert Action
• f(R) Gravity and scalar-tensor theory
• Quintessence without scalar fields
• 1/R Curvature Corrections as the Source of the Cosmological Acceleration
• Solar System constraints to general f(R) gravity
• The conformal frame freedom in theories of gravitation
• Metric-affine f(R) theories of gravity
• The gravity lagrangian according to solar system experiments
• Dynamics of Linear Perturbations in f(R) Gravity
• Palatini form of 1/R gravity
• Matter instability in modified gravity
• Cosmological perturbations in the Palatini formulation of modified gravity
• The stability of modified gravity models
• Higher order gravity theories and scalar tensor theories
• f(R) actions, cosmic acceleration and local tests of gravity
• Fourth order gravity: equations, history, and applications to cosmology
• The Newtonian limit at intermediate energies
• Kerr Black Holes are Not Unique to General Relativity
• Accelerated Cosmological Models in First-Order Non-Linear Gravity
• Viability of f(R) Theories with Additional Powers of Curvature
• The nearly Newtonian regime in Non-Linear Theories of Gravity
• A no-go theorem for polytropic spheres in Palatini f(R) gravity
• Gauge-ready formulation of the cosmological kinetic theory in generalized gravity theories
• Perturbed Kerr Black Holes can probe deviations from General Relativity
• On the Newtonian Limit in Gravity Models with Inverse Powers of R
• Constraining f(R) gravity in the Palatini formalism
• Unification of inflation and cosmic acceleration in the Palatini formalism
• Modified gravity and the stability of de Sitter space
• Curvature scalar instability in f(R) gravity
• Curvature singularities, tidal forces and the viability of Palatini f(R) gravity
• Gravitational potential in Palatini formulation of modified gravity
• How (Not) to Palatini
• $R^2$ corrections to the cosmological dynamics of inflation in the Palatini formulation
• Palatini formulation of the $R^{-1}$modified gravity with an additionally squared scalar curvature term
• Coupled oscillators as models of phantom and scalar field cosmologies

Cited by in corpus (44)

• f(R) theories
• On the consistency of universally non-minimally coupled $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ theories
• Problems with Propagation and Time Evolution in f(T) Gravity
• Black hole entropy in scalar-tensor and f(R) gravity: an overview
• Boundary Term in Metric f(R) Gravity: Field Equations in the Metric Formalism
• The Jebsen-Birkhoff theorem in alternative gravity
• Reconstructing f(R) modified gravity from ordinary and entropy-corrected versions of the holographic and new agegraphic dark energy models
• On the non-attractive character of gravity in f(R) theories
• The dynamics of generalized Palatini Theories of Gravity
• On stability of a neutron star system in Palatini gravity
• A data-driven Reconstruction of Horndeski gravity via the Gaussian processes
• Cosmological dynamics of brane f(R) gravity
• Polytropic stars in Palatini gravity
• Inflationary cosmology with Chaplygin gas in Palatini formalism
• Energy nonconservation as a link between $f(R,T)$ gravity and noncommutative quantum theory
• R^n gravity and the chameleon
• A constrained cosmological model in $f(R,L_m)$ gravity
• Geodesic Deviation Equation in f(R) Gravity
• A Review of Stable, Traversable Wormholes in f (R) Gravity Theories
• The Generalized Uncertainty Principle in f(R) Gravity for a Charged Black Hole
• Gravitational Waves in Ghost Free Bimetric Gravity
• Dynamical apparent horizons in inhomogeneous Brans-Dicke universes
• Power-law solutions and accelerated expansion in scalar-tensor theories
• The Palatini star: exact solutions of the modified Lane-Emden equation
• Complete density perturbations in the Jordan-Fierz-Brans-Dicke theory
• Parametrizing the transition to the phantom epoch with Supernovae Ia and Standard Rulers
• Torsion and accelerating expansion of the universe in quadratic gravitation
• Impact of curvature based geometric constraints on $F(R)$ theory
• Inflation with $f(R,\varphi )$ in Jordan frame
• Cosmological constant as an integration constant
• Backreaction mechanism in multifluid and extended cosmologies
• Scalar-tensor extension of the $\Lambda$CDM model
• Does Dirac-Born-Infeld Modification Of Quadratic Theories Really Matter?
• Asymptotic solutions in f(R)-gravity
• Magnetic black holes in 4$D$ Einstein--Gauss--Bonnet massive gravity coupled to nonlinear electrodynamics
• Cosmological Models in Modified f(R) Gravity Theories
• Torsion and Problems of Standard Cosmology
• Velocity dispersion of dark matter deficient ultra-diffuse galaxies: A case for modified gravity
• Solar System Tests of a New Class of $f(z)$ Theory
• Is it possible to separate baryonic from dark matter within the $\Lambda$-CDM formalism?
• Black Holes and Non-perturbative Gravitational Waves in $f(R)$ Gravity
• First order formalism for bimetric theories with connection interaction
• $O(d,d)$ symmetry in teleparallel dark energy
• Thermodynamics, Phase Transitions, and Geodesic Structure of F(R)-Phantom Banados-Teitelboim-Zanelli (BTZ) Black Holes