Forecasting F(Q) cosmology with $\Lambda$CDM background using standard sirens

TL;DR

This paper evaluates the potential of future gravitational wave observatories to distinguish a Symmetric Teleparallel Gravity model with a CDM background from standard cosmology, highlighting the importance of low redshift events.

Contribution

It provides forecasted constraints on a modified gravity model using mock gravitational wave data, comparing the capabilities of LIGO, LISA, and the Einstein Telescope.

Findings

LIGO cannot distinguish the model from CDM.

LISA and the Einstein Telescope can differentiate the models.

Low redshift events improve constraint quality.

Abstract

Forecast constraints for a Symmetric Teleparallel Gravity model with a $\Lambda$CDM background are made using forthcoming ground and space based gravitational waves observatories. A Bayesian analysis resorting to generated mock catalogs shows that LIGO is not expected to be able to distinguish this model from $\Lambda$CDM, while both LISA and the ET will, with the ET outperforming LISA. We also show that low redshift events are favored in order to improve the quality of the constrains.