Dynamics of linear perturbations in f(R) gravity

Rachel Bean, David Bernat, Levon Pogosian, Alessandra Silvestri, and Mark Trodden
Phys. Rev. D 75, 064020 – Published 16 March 2007

Abstract

We consider predictions for structure formation from modifications to general relativity in which the Einstein-Hilbert action is replaced by a general function of the Ricci scalar. We work without fixing a gauge, as well as in explicit popular coordinate choices, appropriate for the modification of existing cosmological code. We present the framework in a comprehensive and practical form that can be directly compared to standard perturbation analyses. By considering the full evolution equations, we resolve perceived instabilities previously suggested, and instead find a suppression of perturbations. This result presents significant challenges for agreement with current cosmological structure formation observations. The findings apply to a broad range of forms of f(R) for which the modification becomes important at low curvatures, disfavoring them in comparison with the ΛCDM scenario. As such, these results provide a powerful method to rule out a wide class of modified gravity models aimed at providing an alternative explanation to the dark energy problem.

  • Figure
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  • Received 13 November 2006

DOI:https://doi.org/10.1103/PhysRevD.75.064020

©2007 American Physical Society

Authors & Affiliations

Rachel Bean1, David Bernat1, Levon Pogosian2,3, Alessandra Silvestri3, and Mark Trodden3

  • 1Department of Astronomy, Cornell University, Ithaca, New York 14853, USA
  • 2Department of Physics, Simon Fraser University, Burnaby, BC, V5A 1S6, Canada
  • 3Department of Physics, Syracuse University, Syracuse, New York 13244, USA

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Issue

Vol. 75, Iss. 6 — 15 March 2007

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