Data-driven reconstruction of the late-time cosmic acceleration with f (T) gravity

We use a combination of observational data in order to reconstruct the free function of f (T) gravity in a model-independent manner. Starting from the data-driven determined dark-energy equation-ofstate parameter we are able to reconstruct the f (T) form. The obtained function is consistent with the standard Lambda CDM cosmology within 1 sigma confidence level, however the best-fit value experiences oscillatory features. We parametrize it with a sinusoidal function with only one extra parameter comparing to Lambda CDM paradigm, which is a small oscillatory deviation from it, close to the best-fit curve, and inside the 1 sigma reconstructed region. Similar oscillatory dark-energy scenarios are known to be in good agreement with observational data, nevertheless this is the first time that such a behavior is proposed for f (T) gravity. Finally, since the reconstruction procedure is completely modelindependent, the obtained data-driven reconstructed f (T) form could release the tensions between.CDM estimations and local measurements, such as the H-0 and sigma(8) ones. (C) 2021 Elsevier B.V. All rights reserved.

Automated summary

The study reconstructs the free function of f(T) gravity using a combination of observational data, finding that the obtained function is consistent with the standard ΛCDM cosmology within 1σ confidence level but exhibits oscillatory features. Parametrizing it with a sinusoidal function with only one extra parameter, the study proposes a small oscillatory deviation close to the best-fit curve and within the 1σ reconstructed region.