Probing scalar tensor theories for gravity in redshift space
Cristiano G. Sabiu, David F. Mota, Claudio Llinares, Changbom Park

TL;DR
This paper investigates scalar-tensor modified gravity theories by analyzing redshift space clustering statistics, demonstrating that higher order correlations can reveal deviations from standard cosmology.
Contribution
It introduces the use of three-point correlation functions in redshift space to distinguish scalar-tensor gravity models from $ ext{Lambda}$CDM.
Findings
Two-point statistics are consistent with previous results.
Three-point correlation functions show significant deviations from $ ext{Lambda}$CDM.
Higher order statistics are promising tools for testing gravity theories.
Abstract
We present measurements of the spatial clustering statistics in redshift space of various scalar field modified gravity simulations. We utilise the two-point and the three-point correlation functions to quantify the spatial distribution of dark matter halos within these simulations and thus discern between the models. We compare CDM simulations to various modified gravity scenarios and find consistency with previous work in terms of 2-point statistics in real and redshift-space. However using higher order statistics such as the three-point correlation function in redshift space we find significant deviations from CDM hinting that higher order statistics may prove to be a useful tool in the hunt for deviations from General Relativity.
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