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Published May 9, 2012 | Published
Journal Article Open

Cluster density profiles as a test of modified gravity

Abstract

We present a new test of gravitational interactions at the r≃(0.2–20)  Mpc scale, around the virial radius of dark matter halos measured through cluster-galaxy lensing of maxBCG clusters from the Sloan Digital Sky Survey (SDSS). We employ predictions from self-consistent simulations of f(R) gravity to find an upper bound on the background field amplitude of |f_R0|<3.5×10^(-3) at the 1D-marginalized 95% confidence level. As a model-independent assessment of the constraining power of cluster profiles measured through weak gravitational lensing, we also constrain the amplitude F_0 of a phenomenological modification based on the profile enhancement induced by f(R) gravity when not including effects from the increased cluster abundance in f(R). In both scenarios, dark-matter-only simulations of the concordance model corresponding to |fR0|=0 and F0=0 are consistent with the lensing measurements, i.e., at the 68% and 95% confidence level, respectively.

Additional Information

© 2012 American Physical Society. Received 8 November 2011; published 9 May 2012. We thank Jonathan Blazek, Michael Busha, Vincent Desjacques, Bhuvnesh Jain, Doug Potter, Darren Reed, Ravi Sheth, Anže Slosar, and Romain Teyssier for useful discussions. We are also grateful to the anonymous referee for helpful suggestions and comments. L. L. thanks the Lawrence Berkeley National Laboratory, the Berkeley Center for Cosmological Physics, and Ewha Womans University for hospitality while parts of this work have been carried out. Computational resources were provided on the Schro¨dinger supercomputer at the University of Zurich and on the supercomputer at the Institute for the Early Universe at Ewha University. This work was supported by the Swiss National Foundation under Contract No. 2000 124835/1 and WCU Grant No. R32-2008-000-10130-0. F. S. is supported by the Gordon and Betty Moore Foundation at Caltech.

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