Linear growth rate of structure in parametrized post-Friedmannian universes

Pedro G. Ferreira and Constantinos Skordis
Phys. Rev. D 81, 104020 – Published 10 May 2010

Abstract

A possible solution to the dark energy problem is that Einstein’s theory of general relativity is modified. A suite of models have been proposed that, in general, are unable to predict the correct amount of large scale structure in the distribution of galaxies or anisotropies in the cosmic microwave background. It has been argued, however, that it should be possible to constrain a general class of theories of modified gravity by focusing on properties such as the growing mode, gravitational slip, and the effective, time-varying Newton’s constant. We show that assuming certain physical requirements such as stability, metricity, and gauge invariance, it is possible to come up with consistency conditions between these various parameters. In this paper we focus on theories which have, at most, second derivatives in the metric variables and find restrictions that shed light on current and future experimental constraints without having to resort to a (as yet unknown) complete theory of modified gravity. We claim that future measurements of the growth of structure on small scales (i.e. from 1200h1Mpc) may lead to tight constraints on both dark energy and modified theories of gravity.

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  • Received 22 March 2010

DOI:https://doi.org/10.1103/PhysRevD.81.104020

©2010 American Physical Society

Authors & Affiliations

Pedro G. Ferreira*

  • Oxford Astrophysics, Physics, DWB, Keble Road, Oxford, OX1 3RH, UK

Constantinos Skordis

  • School of Physics and Astronomy, University of Nottingham, University Park, Nottingham, NG7 2RD, UK

  • *pgf@astro.ox.ac.uk
  • skordis@nottingham.ac.uk

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Vol. 81, Iss. 10 — 15 May 2010

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