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Testing Gravity using Void Profiles

Published online by Cambridge University Press:  12 October 2016

Yan-Chuan Cai,
Nelson Padilla and
Baojiu Li
Yan-Chuan Cai
Affiliation:
Institute for Computational Cosmology, Department of Physics, University of Durham, South Road, Durham DH1 3LE, UK email: y.c.cai@durham.ac.uk
Nelson Padilla
Affiliation:
Instituto de Astrofísica, Pontificia Universidad Católica, Av. Vicuña Mackenna 4860, Santiago, ChileCentro de Astro-Ingeniería, Pontificia Universidad Católica, Av. Vicuña Mackenna 4860, Santiago, Chile
Baojiu Li
Affiliation:
Institute for Computational Cosmology, Department of Physics, University of Durham, South Road, Durham DH1 3LE, UK email: y.c.cai@durham.ac.uk
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Abstract

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We investigate void properties in f(R) models using N-body simulations, focusing on their differences from General Relativity (GR) and their detectability. In the Hu-Sawicki f(R) modified gravity (MG) models, the halo number density profiles of voids are not distinguishable from GR. In contrast, the same f(R) voids are more empty of dark matter, and their profiles are steeper. This can in principle be observed by weak gravitational lensing of voids, for which the combination of a spectroscopic redshift and a lensing photometric redshift survey over the same sky is required. Neglecting the lensing shape noise, the f(R) model parameter amplitudes fR0=10-5 and 10-4 may be distinguished from GR using the lensing tangential shear signal around voids by 4 and 8 σ for a volume of 1 (Gpc/h)3. The line-of-sight projection of large-scale structure is the main systematics that limits the significance of this signal for the near future wide angle and deep lensing surveys. For this reason, it is challenging to distinguish fR0=10-6 from GR. We expect that this can be overcome with larger volume. The halo void abundance being smaller and the steepening of dark matter void profiles in f(R) models are unique features that can be combined to break the degeneracy between fR0 and σ8.

Keywords

gravitational lensing: weakmethods: statisticalgravitationlarge-scale structure of Universe

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