Distinguish the f(T) model from CDM model with Gravitational Wave observations

Yi Zhang; Hongsheng Zhang

doi:10.1140/epjc/s10052-021-09501-1

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2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2021) 81: 706
https://doi.org/10.1140/epjc/s10052-021-09501-1

Regular Article - Theoretical Physics

Distinguish the f(T) model from $Λ$ $\Lambda$ CDM model with Gravitational Wave observations

Yi Zhang¹^a and Hongsheng Zhang²

¹ College of Science, Chongqing University of Posts and Telecommunications, 400065, Chongqing, China
² School of Physics and Technology, University of Jinan, West Road of Nan Xinzhuang 336, 250022, Jinan, Shandong, China

^a zhangyia@cqupt.edu.cn

Received: 28 March 2021
Accepted: 28 July 2021
Published online: 6 August 2021

Abstract

Separately, neither electromagnetic (EM) observations nor gravitational wave (GW) observations can distinguish between the f(T) model and the $Λ$ $\Lambda$ CDM model effectively. To break this degeneration, we simulate the GW measurement based on the coming observation facilities, explicitly the Einstein Telescope. We make cross-validations between the simulated GW data and factual EM data, including the Pantheon, H(z), BAO and CMBR data, and the results show that they are consistent with each other. Anyway, the EM data itself have the $H_{0}$ $$H_0$$ tension problem which plays critical role in the distinguishable problem as we will see. Our results show that the GW $+$ $$+$$ BAO $+$ $$+$$ CMBR data could distinguish the f(T) theory from the $Λ$ $\Lambda$ CDM model in $2 σ$ $2\sigma$ regime.

© The Author(s) 2021

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