A general framework to test gravity using galaxy clusters II: A universal model for the halo concentration in f(R) gravity

Mitchell, Myles A; Arnold, Christian; He, Jian-hua; Li, Baojiu

Abstract

We present a novel fitting formula for the halo concentration enhancement in chameleon f(R) gravity relative to General Relativity (GR). The formula is derived by employing a large set of N-body simulations of the Hu-Sawicki f(R) model which cover a wide range of model and cosmological parameters, resolutions and simulation box sizes. The complicated dependence of the concentration on halo mass M, redshift z, and the f(R) and cosmological parameters can be combined into a simpler form that depends only on a rescaled mass M/10 p 2 M/10p2 ⁠, with p 2 ≡1.5log 10 [|f ¯ R (z)|/(1+z)]+21.64 p2≡1.5log10⁡[|f¯R(z)|/(1+z)]+21.64 and f ¯ R (z) f¯R(z) the background scalar field at z, irrespective of the f(R) model parameter. Our fitting formula can describe the concentration enhancement well for redshifts z ≤ 3, nearly 7 orders of magnitude in M/10 p 2 M/10p2 and five decades in halo mass. This is part of a series of works which aims to provide a general framework for self-consistent and unbiased tests of gravity using present and upcoming galaxy cluster surveys. The fitting formula, which is the first quantitative model for the concentration enhancement due to chameleon type modified gravity, is an important part in this framework and will allow continuous exploration of the parameter space. It can also be used to model other statistics such as the matter power spectrum.

Citation

Mitchell, M. A., Arnold, C., He, J.-H., & Li, B. (2019). A general framework to test gravity using galaxy clusters II: A universal model for the halo concentration in f(R) gravity. Monthly Notices of the Royal Astronomical Society, 487(1), 1410-1425. https://doi.org/10.1093/mnras/stz1389

• Journal Article Type: Article
• Acceptance Date: May 16, 2019
• Online Publication Date: May 20, 2019
• Publication Date: Jul 31, 2019
• Deposit Date: May 21, 2019
• Publicly Available Date: May 21, 2019
• Journal: Monthly Notices of the Royal Astronomical Society
• Print ISSN: 0035-8711
• Electronic ISSN: 1365-2966
• Publisher: Royal Astronomical Society
• Peer Reviewed: Peer Reviewed
• Volume: 487
• Issue: 1
• Pages: 1410-1425
• DOI: https://doi.org/10.1093/mnras/stz1389
• Public URL: https://durham-repository.worktribe.com/output/1295956