Abstract
We study scalar cosmological perturbations in f(R,T) modified gravity theories, where T represents the trace of the energy–momentum tensor. We provide detailed equations for the matter energy density contrast. We solve them numerically to facilitate a comparison with available large-scale structure (LSS) formation observational data on fσ8, while also addressing the S8 tension. We identify f(R,T) models that either lead to growth enhancement or suppression. Since recent results in the literature indicate a preference for the latter feature, this type of analysis is quite useful for selecting viable modifications of gravity. The studied class of such f(R,T) models are either ruled out or severely restricted. After selecting the surviving f(R,T) models we show how they deal with the S8 tension.
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