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Power-laws f(R) theories are cosmologically unacceptable

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In a recent paper,1 we have shown that f(R) = R + μRn modified gravity dark energy models are not cosmologically viable because during the matter era that precedes the accelerated stage the cosmic expansion is given by a ~ t1/2 rather than a ~ t2/3, where a is a scale factor and t is the cosmic time...

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Bibliographic Details
Main Authors: Amendola, Luca (Author) , Polarski, David (Author) , Tsujikawa, Shinji (Author)
Format: Article (Journal)
Language:English
Published: 2007
In: International journal of modern physics
Year: 2007, Volume: 16, Issue: 10, Pages: 1555-1561
ISSN:1793-6594
DOI:10.1142/S0218271807010936
Online Access:Verlag, Volltext: http://dx.doi.org/10.1142/S0218271807010936
Verlag, Volltext: http://www.worldscientific.com/doi/abs/10.1142/S0218271807010936
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Author Notes:Luca Amendola, INAF/Osservatorio Astronomico di Roma, Via Frascati 33, I-00040 Monte Porzio Catone, RM, Italy; David Polarski, Lab. de Physique Mathématique et Théorique, Université Montpellier II, UMR 5825, 34095 Montpellier Cedex 05, France; Shinji Tsujikawa, Department of Physics, Gunma National College of Technology, Gunma 371-8530, Japan

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520 |a In a recent paper,1 we have shown that f(R) = R + μRn modified gravity dark energy models are not cosmologically viable because during the matter era that precedes the accelerated stage the cosmic expansion is given by a ~ t1/2 rather than a ~ t2/3, where a is a scale factor and t is the cosmic time. A recent work by Capozziello et al.2 criticized our results presenting some apparent counter-examples to our claim in f(R) = μRn models. We show here that those particular Rn models can produce an expansion as a ~ t2/3 but this does not connect to a late-time acceleration. Hence, though acceptable f(R) dark energy models might exist, the Rn models presented in Capozziello et al. are not cosmologically viable, confirming our previous results in Ref. 1. 
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