Dispersion of growth of matter perturbations in f(R) gravity

Shinji Tsujikawa, Radouane Gannouji, Bruno Moraes, and David Polarski
Phys. Rev. D 80, 084044 – Published 29 October 2009

Abstract

We study the growth of matter density perturbations δm for a number of viable f(R) gravity models that satisfy both cosmological and local gravity constraints, where the Lagrangian density f is a function of the Ricci scalar R. If the parameter mRf,RR/f,R today is larger than the order of 106, linear perturbations relevant to the matter power spectrum evolve with a growth rate sdlnδm/dlna (a is the scale factor) that is larger than in the ΛCDM model. We find the window in the free parameter space of our models for which spatial dispersion of the growth index γ0γ(z=0) (z is the redshift) appears in the range of values 0.40γ00.55, as well as the region in parameter space for which there is essentially no dispersion and γ0 converges to values around 0.40γ00.43. These latter values are much lower than in the ΛCDM model. We show that these unusual dispersed or converged spectra are present in most of the viable f(R) models with m(z=0) larger than the order of 106. These properties will be essential in the quest for f(R) modified gravity models using future high-precision observations and they confirm the possibility to distinguish clearly most of these models from the ΛCDM model.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Received 19 August 2009

DOI:https://doi.org/10.1103/PhysRevD.80.084044

©2009 American Physical Society

Authors & Affiliations

Shinji Tsujikawa1, Radouane Gannouji2, Bruno Moraes3, and David Polarski3

  • 1Department of Physics, Faculty of Science, Tokyo University of Science, 1-3, Kagurazaka, Shinjuku-ku, Tokyo 162-8601, Japan
  • 2IUCAA, Post Bag 4, Ganeshkhind, Pune 411 007, India
  • 3Laboratoire de Physique Theorique et Astroparticules, CNRS, Universite Montpellier II, Place E. Bataillon, Case 70, 34095 Montpellier Cedex 05, France

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 80, Iss. 8 — 15 October 2009

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review D

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×