f(R) gravity: successes and challenges

Abstract

We review the state of the art of f(R) theories of gravity (in their various formulations), which have been proposed as an explanation of the cosmic acceleration alternative to dark energy. The successes of f(R) gravity are discussed, together with the challenges imposed by minimal criteria for their viability.

18 pages, latex. Presented at SIGRAV2008, 18th Congress of the Italian Society of General Relativity and Gravitation, Cosenza, Italy September 22-25, 2008

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Cited by in corpus (34)

• Cosmological viable f(R,T) dark energy model: dynamics and stability
• Covariant Effective Action for Loop Quantum Cosmology a la Palatini
• Buchdahl quark stars within $f(Q)$ theory
• On the "Universal" Quantum Area Spectrum
• New Models of f(R) Theories of Gravity
• Impact of $H_0$ priors on $f(T)$ late time cosmology
• The $3+1$ Formalism in the Geometric Trinity of Gravity
• Measurement of marked correlation functions in SDSS-III Baryon Oscillation Spectroscopic Survey using LOWZ galaxies in Data Release 12
• Chaplygin-gas Solutions of f(R) Gravity
• Classification of Teleparallel Horndeski Cosmology via Noether Symmetries
• Neural Network Reconstruction of $H^{\prime }(z)$ and its application in Teleparallel Gravity
• Cosmological evolution, future singularities, Little Rip and Pseudo-Rip in viable f(R) theories and their scalar-tensor counterpart
• Well-tempered teleparallel Horndeski cosmology: a teleparallel variation to the cosmological constant problem
• Note About Hamiltonian Formalism of Modified $F(R)$ Hořava-Lifshitz Gravities and Their Healthy Extension
• Clifton's spherical solution in f(R) vacuo harbours a naked singularity
• Spatial Curvature in $f(R)$ Gravity
• Geodesic Deviation Equation in f(R) Gravity
• Ghost and Laplacian Instabilities in the Teleparallel Horndeski Gravity
• $(2+1)$-Dimensional Black Holes in $f(R,\varphi )$ Gravity
• Noether Symmetries in $f(T,T_G)$ Cosmology
• $f(T,B)$ Gravity in the late Universe in the context of local measurements
• New Cases of Universality Theorem for Gravitational Theories
• Hysteresis in the Sky
• Naked Singularity in a Modified Gravity Theory
• Irrotational-fluid cosmologies in fourth-order gravity
• A class of simple bouncing and late-time accelerating cosmologies in f(R) gravity
• Extended Cosmologies
• Running Cosmological Constant and Running Newton Constant in Modified Gravity Theories
• Horizons and singularity in Clifton's spherical solution of f(R) vacuum
• Cosmological Models in Modified f(R) Gravity Theories
• Superradiant instability and asymptotically AdS hairy black holes in $F(R)$-charged scalar field theory
• Torsion and Problems of Standard Cosmology
• Generalized GHY term for f(R) Gravity
• Constraining Post-Newtonian f(R) Gravity in the Solar System