f(R) Theories

@article{DeFelice2010fRT,
  title={f(R) Theories},
  author={Antonio De Felice and Shinji Tsujikawa},
  journal={Living Reviews in Relativity},
  year={2010},
  volume={13}
}
Over the past decade, f(R) theories have been extensively studied as one of the simplest modifications to General Relativity. In this article we review various applications of f(R) theories to cosmology and gravity — such as inflation, dark energy, local gravity constraints, cosmological perturbations, and spherically symmetric solutions in weak and strong gravitational backgrounds. We present a number of ways to distinguish those theories from General Relativity observationally and… 
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References

SHOWING 1-10 OF 656 REFERENCES

Limit to general relativity in f(R) theories of gravity

We discuss two aspects of f(R) theories of gravity in metric formalism. We first study the reasons to introduce a scalar-tensor representation for these theories and the behavior of this…

Matter power spectrum in f(R) gravity

Modified gravity can be considered as an alternative to dark energy. In a generalized theory of gravity, the Universe may accelerate while containing only baryonic and dark matter. We study, in…

Constraining Newtonian stellar configurations in f(R) theories of gravity

Abstract We consider general metric f ( R ) theories of gravity by solving the field equations in the presence of a spherical static mass distribution by analytical perturbative means. Expanding the…

Large scale structure of f(R) gravity

We study the evolution of linear cosmological perturbations in f(R) models of accelerated expansion in the physical frame where the gravitational dynamics are fourth order and the matter is minimally…

f(R) Theories Of Gravity

Modified gravity theories have received increased attention lately due to combined motivation coming from high-energy physics, cosmology, and astrophysics. Among numerous alternatives to Einstein's…

Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase

Disappearing cosmological constant in f(R) gravity

For higher-derivative f(R) gravity, where R is the Ricci scalar, a class of models is proposed, which produce viable cosmology different from the ACDM at recent times and satisfy cosmological, Solar…

Relativistic stars in f ( R ) gravity, and absence thereof

Several f(R) modified gravity models have been proposed which realize the correct cosmological evolution and satisfy solar system and laboratory tests. Although nonrelativistic stellar configurations…

f(R) gravity and chameleon theories

We analyze f(R) modifications of Einstein's gravity as dark energy models in the light of their connection with chameleon theories. Formulated as scalar-tensor theories, the f(R) theories imply the…

f(R) actions, cosmic acceleration and local tests of gravity

We study spherically symmetric solutions in f(R) theories and its compatibility with local tests of gravity. We start by clarifying the range of validity of the weak field expansion and show that,…
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