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Phys. Rev. D 74, 086005 (2006) [13 pages]

Modified f(R) gravity consistent with realistic cosmology: From a matter dominated epoch to a dark energy universe

Shin'ichi Nojiri
Department of Physics, Nagoya University, Nagoya 464-8602, Japan

Sergei D. Odintsov
Instituciò Catalana de Recerca i Estudis Avançats (ICREA) and Institut de Ciencies de l'Espai (IEEC-CSIC), Campus UAB, Facultat de Ciencies, Torre C5-Par-2a pl, E-08193 Bellaterra (Barcelona), Spain
Received 4 September 2006; published 19 October 2006

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) LambdaCDM 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.

©2006 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevD.74.086005
DOI: 10.1103/PhysRevD.74.086005
PACS: 11.25.-w; 95.36.+x; 98.80.-k

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