Modified f (r) gravity consistent with realistic cosmology: from a matter dominated epoch to a dark energy universe
TLDR
In this paper, a general scheme for modified $f(R)$ gravity reconstruction from any realistic Friedmann-Robertson-Walker (FRW) cosmology is developed, where the modified gravities are expressed implicitly (in terms of special functions) with late-time asymptotics of known type (for instance, the model with negative and positive powers of curvature).Abstract:
We develop the general scheme for modified $f(R)$ gravity reconstruction from any realistic Friedmann-Robertson-Walker (FRW) cosmology. We formulate several versions of modified gravity compatible with solar system tests where the following sequence of cosmological epochs occurs: (a) matter dominated phase (with or without usual matter), transition from deceleration to acceleration, accelerating epoch consistent with recent WMAP data, (b) $\ensuremath{\Lambda}\mathrm{CDM}$ cosmology without cosmological constant. As a rule, such modified gravities are expressed implicitly (in terms of special functions) with late-time asymptotics of known type (for instance, the model with negative and positive powers of curvature). In the alternative approach, it is demonstrated that even simple versions of modified gravity may lead to the unification of matter dominated and accelerated phases at the price of the introduction of compensating dark energy.read more
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Journal ArticleDOI
f ( R ) theories of gravity
TL;DR: In this article, the authors present a review of the most important aspects of the different classes of modified gravity theories, including higher-order curvature invariants and metric affine.
Journal ArticleDOI
Modified Gravity and Cosmology
TL;DR: A comprehensive survey of recent work on modified theories of gravity and their cosmological consequences can be found in this article, where the authors provide a reference tool for researchers and students in cosmology and gravitational physics, as well as a selfcontained, comprehensive and up-to-date introduction to the subject as a whole.
Journal ArticleDOI
Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
TL;DR: In this article, the structure and cosmological properties of a number of modified theories, including traditional F (R ) and Hořava-Lifshitz F ( R ) gravity, scalar-tensor theory, string-inspired and Gauss-Bonnet theory, non-local gravity, nonminimally coupled models, and power-counting renormalizable covariant gravity are discussed.
Journal ArticleDOI
Extended Theories of Gravity
TL;DR: Extended Theories of Gravity as discussed by the authors can be considered as a new paradigm to cure shortcomings of General Relativity at infrared and ultraviolet scales, which is an approach that, by preserving the undoubtedly positive results of Einstein's theory, is aimed to address conceptual and experimental problems recently emerged in astrophysics, cosmology and High Energy Physics.
Journal ArticleDOI
Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
TL;DR: In this paper, the structure and cosmological properties of modified theories, including traditional $F(R)$ and Hořava-Lifshitz$ gravity, scalar-tensor theory, string-inspired and Gauss-Bonnet theory, non-local gravity, nonminimally coupled models, and power-counting renormalizable covariant gravity are discussed.
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