N-body simulations, halo mass functions, and halo density profile in f(T) gravity

Yiqi Huang, Jiajun Zhang, Xin Ren, Emmanuel N. Saridakis, Fuyu Dong, and Yi-Fu Cai
Phys. Rev. D 106, 064047 – Published 27 September 2022

Abstract

We perform N-body simulations for f(T) gravity using the ME-Gadget code, in order to investigate the structure formation process in detail for the first time. Focusing on the power-law model and considering the model parameter to be consistent within 1σ with all other cosmological data sets (such as type 1a supernovae, baryon acoustic oscillations, the cosmic microwave background, and cosmic chronometers), we show that there are clear observational differences between ΛCDM cosmology and f(T) gravity due to the modifications brought about by the latter in the evolution of the Hubble function and the effective Newton’s constant. We extract the matter density distribution, matter power spectrum, counts-in-cells, halo mass function, and excess surface density (ESD) around low-density positions (LDPs) at the present time. Concerning the matter power spectrum, we find a difference from that in the ΛCDM scenario, about 2/3 of which is attributed to the different expansion and about 1/3 to the effective gravitational constant. Additionally, we find a difference in the cells, which is significantly larger than the Poisson error, which may be distinguishable with weak-lensing reconstructed mass maps. Moreover, we show that there are different massive halos with masses M>1014M/h, which may be distinguishable from statistical measurements of cluster number counting, and we find that the ESD around LDPs is mildly different. In conclusion, by highlighting possible smoking guns, we show that large-scale structure can indeed lead us to distinguish general relativity and ΛCDM cosmology from f(T) gravity.

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  • Received 22 April 2022
  • Accepted 1 September 2022

DOI:https://doi.org/10.1103/PhysRevD.106.064047

© 2022 American Physical Society

Physics Subject Headings (PhySH)

General PhysicsGravitation, Cosmology & Astrophysics

Authors & Affiliations

Yiqi Huang1,*, Jiajun Zhang2,†, Xin Ren3,4, Emmanuel N. Saridakis5,3,4, Fuyu Dong6, and Yi-Fu Cai3,4

  • 1Department of Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China
  • 2Shanghai Astronomical Observatory, Chinese Academy of Sciences, Shanghai 200030, China
  • 3Department of Astronomy, School of Physical Sciences, University of Science and Technology of China, Hefei, Anhui 230026, China
  • 4CAS Key Laboratory for Researches in Galaxies and Cosmology, School of Astronomy and Space Science, University of Science and Technology of China, Hefei, Anhui 230026, China
  • 5National Observatory of Athens, Lofos Nymfon, 11852 Athens, Greece
  • 6School of Physics, Korea Institute for Advanced Study, 85 Heogiro, Dongdaemun-gu, Seoul 02455, Republic of Korea

  • *yq_huang@sjtu.edu.cn
  • jjzhang@shao.ac.cn

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Issue

Vol. 106, Iss. 6 — 15 September 2022

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