Observational signatures of f(R) dark energy models that satisfy cosmological and local gra.pdfVIP
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Observational signatures of f(R) dark energy models that satisfy cosmological and local gra
a r X i v : 0 7 0 9 .1 3 9 1 v 2 [ a s t r o - p h ] 1 9 N o v 2 0 0 7 Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints Shinji Tsujikawa1 1Department of Physics, Gunma National College of Technology, Gunma 371-8530, Japan (Dated: February 1, 2008) We discuss observational consequences of f(R) dark energy scenarios that satisfy local gravity constraints (LGC) as well as conditions of the cosmological viability. The model we study is given by m(r) = C(?r ? 1)p (C 0, p 1) with m = Rf,RR/f,R and r = ?Rf,R/f , which cover viable f(R) models proposed so far in a high-curvature region designed to be compatible with LGC. The equation of state of dark energy exhibits a divergence at a redshift zc that can be as close as a few while satisfying sound horizon constraints of Cosmic Microwave Background (CMB). We study the evolution of matter density perturbations in details and place constraints on model parameters from the difference of spectral indices of power spectra between CMB and galaxy clustering. The models with p ≥ 5 can be consistent with those observational constraints as well as LGC. We also discuss the evolution of perturbations in the Ricci scalar R and show that an oscillating mode (scalaron) can easily dominate over a matter-induced mode as we go back to the past. This violates the stability of cosmological solutions, thus posing a problem about how the over-production of scalarons should be avoided in the early universe. I. INTRODUCTION The origin of dark energy (DE) has persistently been one of the most serious problems in cosmology [1, 2]. Many DE models have been proposed so far, but we have not found any strong evidence to support that such mod- els are better than cosmological constant. Thus the first step towards the understanding of the origin of DE is to find the departure from the ΛCDM model. The simplest modification to the ΛCDM model is per- haps so-called f(R) gravity in which the
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