Subhalo abundance matching in $f(R)$ gravity
Jian-Hua He (ICC, Durham), Baojiu Li (ICC, Durham), Carlton M. Baugh, (ICC, Durham)

TL;DR
This paper predicts galaxy clustering in $f(R)$ gravity using subhalo abundance matching, revealing significant deviations from $ ext{Lambda}$CDM that future surveys can test to constrain gravity models.
Contribution
First application of subhalo abundance matching to $f(R)$ gravity simulations, showing potential for galaxy surveys to test modified gravity theories.
Findings
Galaxy clustering in $f(R)$ models can differ by up to 40% from $ ext{Lambda}$CDM.
Even with similar dark matter clustering, galaxy clustering predictions vary significantly.
Future surveys can use these differences to test the validity of $f(R)$ gravity.
Abstract
Using the liminality N-body simulations of Shi et. al., we present the first predictions for galaxy clustering in gravity using subhalo abundance matching. We find that, for a given galaxy density, even for an model with , for which the cold dark matter clustering is very similar to CDM, the predicted clustering of galaxies in the model is very different from CDM. The deviation can be as large as for samples with mean densities close to that of galaxies. This large deviation is testable given the accuracy that future large-scale galaxy surveys aim to achieve. Our result demonstrates that galaxy surveys can provide a stringent test of General Relativity on cosmological scales, which is comparable to the tests from local astrophysical observations.
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