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      f(R) Theories Of Gravity

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          Abstract

          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 theory of gravity, theories which include higher order curvature invariants, and specifically the particular class of f(R) theories, have a long history. In the last five years there has been a new stimulus for their study, leading to a number of interesting results. We review here f(R) theories of gravity in an attempt to comprehensively present their most important aspects and cover the largest possible portion of the relevant literature. All known formalisms are presented -- metric, Palatini and metric-affine -- and the following topics are discussed: motivation; actions, field equations and theoretical aspects; equivalence with other theories; cosmological aspects and constraints; viability criteria; astrophysical applications.

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          General relativity with spin and torsion: Foundations and prospects

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            Cosmological Imprint of an Energy Component with General Equation of State

            We examine the possibility that a significant component of the energy density of the universe has an equation-of-state different from that of matter, radiation or cosmological constant (\(\Lambda\)). An example is a cosmic scalar field evolving in a potential, but our treatment is more general. Including this component alters cosmic evolution in a way that fits current observations well. Unlike \(\Lambda\), it evolves dynamically and develops fluctuations, leaving a distinctive imprint on the microwave background anisotropy and mass power spectrum.
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              The stability of general relativistic cosmological theory

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                Author and article information

                Journal
                12 May 2008
                2010-06-03
                Article
                10.1103/RevModPhys.82.451
                0805.1726
                fe2dd847-c51e-4221-97ea-d3dcf5b092a0

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                History
                Custom metadata
                Rev. Mod. Phys. 82:451-497,2010
                47 pages, review commissioned by Rev. Mod. Phys; v2: minor changes to address comments received, references added; v3: changes in the Cauchy problem section, minor edits, some typos corrected, version accepted in Rev. Mod. Phys; v4: minor corrections to match published version
                gr-qc astro-ph hep-th

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