http://arxiv.org/abs/2305.04520
Modifications in the law of gravity can leave signatures on the large-scale structure, especially on the non-linear and quasi-linear scales. In this work, we propose that the four Minkowski functionals (MFs), which fully encapsulate the morphological information of the large-scale structure, are a powerful tool to constrain modified gravity(MG). With the assistance of N-body simulations, we quantify the MFs’ constraining power on the Hu-Sawicki $f(R)$ gravity model by the Fisher matrix technique. The cosmic variance from the finite simulation volume is discussed. By measuring the MFs from the density field of dark matter with different smoothing scales and at different redshifts, we systematically evaluate how much information can be extracted from the MFs in these situations, and try to combine them to improve the constraint. Furthermore, we study the MG signatures imprinted in the MFs of the large-scale structures (LSS) when the biased tracer — dark matter halo — is used. And find the response to the fifth force is different from the matter. We also study how the constraints on modified gravity parameters change when using biased tracers of LSS. We expect that the MFs of LSS can provide us with a stringent constraint on modified gravity in the near future.
A. Jiang, W. Liu, B. Li, et. al.
Tue, 9 May 23
67/88
Comments: 23 pages, 7 figures, prepared for JCAP