Growth factor in teleparallel Gauss-Bonnet gravity

TL;DR

This paper investigates three cosmological models within $F(T,T_G)$ teleparallel gravity, analyzing their structure growth evolution and showing they can mimic $$CDM at certain scales while deviating at others.

Contribution

It introduces and compares three $F(T,T_G)$ models, demonstrating their potential to replicate $$CDM growth patterns with distinctive intermediate-scale deviations.

Findings

Models are qualitatively competitive with $$CDM for certain parameters.

Models can match $$CDM growth levels at some scales.

Possible deviations at intermediate scales are identified.

Abstract

Teleparallel gravity offers a competing geometric framework on which to build cosmological models. The Gauss-Bonnet invariant captures key aspects of the underlying geometry that has been shown to be an interesting way to form cosmological models beyond $\Lambda$CDM cosmology. In this work, we explore three competing cosmological models in $F(T,T_G)$ cosmology in the context of their evolution of the growth of structure in the Universe. This is a core test of the viability of any cosmological model. In our work, we show how these models are qualitatively competitive with $\Lambda$CDM cosmology for certain ranges of model parameters. Interestingly, the models can arrive at the same level of growth as $\Lambda$CDM while producing possible deviations at intermediate scales.