Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints

Shinji Tsujikawa
Phys. Rev. D 77, 023507 – Published 11 January 2008

Abstract

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(r1)p (C>0, p>1) with m=Rf,RR/f,R and r=Rf,R/f, which covers 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 the cosmic microwave background (CMB). We study the evolution of matter density perturbations in detail and place constraints on model parameters from the difference of spectral indices of power spectra between CMB and galaxy clustering. The models with p5 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 overproduction of scalarons should be avoided in the early universe.

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  • Received 10 September 2007

DOI:https://doi.org/10.1103/PhysRevD.77.023507

©2008 American Physical Society

Authors & Affiliations

Shinji Tsujikawa

  • Department of Physics, Gunma National College of Technology, Gunma 371-8530, Japan

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Issue

Vol. 77, Iss. 2 — 15 January 2008

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