The Einstein Telescope standard siren simulations for $f(Q)$ cosmologies

TL;DR

This paper simulates standard siren data in $f(Q)$ cosmologies to evaluate the impact of model effects and observational data requirements, providing insights into model viability with current and future data.

Contribution

It introduces simulations of standard siren data for various $f(Q)$ models, assessing their compatibility with observational data and future constraints.

Findings

$f(Q)_{PE}$ model can be ruled out by electromagnetic data.

Future standard siren data will exclude $f(Q)_{HT}$ models.

$f(Q)_P$ and $f(Q)_E$ models require more observational data for further study.

Abstract

To investigate the model and extra frictional effects in standard siren simulation of $f(Q)$ cosmologies, we simulated three types of standard siren data based on different fiducial models ($\Lambda$CDM and $f(Q)$ models). Both effects are important in standard siren simulation. Explicitly, the $f(Q)_P$ and $f(Q)_E$ models need more observational data (e.g.growth factor) to further study. The $f(Q)_{PE}$ model could be ruled out by the EM data. And both the $f(Q)_{HT}$ models will be excluded by the future standard siren data.