Pattern of growth in viable f(R) cosmologies

Levon Pogosian and Alessandra Silvestri
Phys. Rev. D 77, 023503 – Published 3 January 2008; Erratum Phys. Rev. D 81, 049901 (2010)

Abstract

We study the evolution of linear perturbations in metric f(R) models of gravity and identify a potentially observable characteristic scale-dependent pattern in the behavior of cosmological structures. While at the background level viable f(R) models must closely mimic Lambda Cold Dark Matter, the differences in their prediction for the growth of large scale structures can be sufficiently large to be seen with future weak lensing surveys. While working in the Jordan frame, we perform an analytical study of the growth of structures in the Einstein frame, demonstrating the equivalence of the dynamics in the two frames. We also provide a physical interpretation of the results in terms of the dynamics of an effective dark energy fluid with a nonzero shear. We find that the growth of structure in f(R) is enhanced, but that there are no small scale instabilities associated with the additional attractive “fifth force.” We then briefly consider some recently proposed observational tests of modified gravity and their utility for detecting the f(R) pattern of structure growth.

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  • Received 9 September 2007

DOI:https://doi.org/10.1103/PhysRevD.77.023503

©2008 American Physical Society

Erratum

Erratum: Pattern of growth in viable f(R) cosmologies [Phys. Rev. D 77, 023503 (2008)]

Levon Pogosian and Alessandra Silvestri
Phys. Rev. D 81, 049901 (2010)

Authors & Affiliations

Levon Pogosian1 and Alessandra Silvestri2

  • 1Department of Physics, Simon Fraser University, Burnaby, British Columbia, V5A 1S6, Canada
  • 2Department of Physics, Syracuse University, Syracuse, New York 13244, USA

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Issue

Vol. 77, Iss. 2 — 15 January 2008

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