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arXiv · 2601.22225

Modified Teleparallel $f(T)$ Gravity, DESI BAO and the $H_0$ Tension

Mariam Bouhmadi-López·Carlos G. Boiza·Maria Petronikolou·Emmanuel N. Saridakis
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Abstract

We investigate whether late-time modifications of gravity in the teleparallel framework can impact the current tension in the Hubble constant $H_0$, focusing on $f(T)$ cosmology as a minimal and well-controlled extension of General Relativity. We consider three representative $f(T)$ parametrisations that recover the teleparallel equivalent of General Relativity at early times and deviate from it only at late epochs. The models are confronted with unanchored Pantheon+ Type~Ia supernovae, DESI DR2 baryon acoustic oscillations, compressed Planck cosmic microwave background distance priors, and redshift-space distortion data, allowing us to jointly probe the background expansion and the growth of cosmic structures. Two of the three models partially shift the inferred value of $H_0$ towards local measurements, while the third worsens the discrepancy. This behaviour is directly linked to the effective torsional dynamics, with phantom-like regimes favouring higher $H_0$ and quintessence-like regimes producing the opposite effect. A global statistical comparison shows that the minimal $f(T)$ extensions considered here are not favoured over $\Lambda$CDM by the combined data. Nevertheless, our results demonstrate that late-time torsional modifications can non-trivially redistribute current cosmological tensions among the background and growth sectors.

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Mariam Bouhmadi-López, Carlos G. Boiza, Maria Petronikolou, Emmanuel N. Saridakis. 2026-01-29. Modified Teleparallel $f(T)$ Gravity, DESI BAO and the $H_0$ Tension. https://doi.org/10.3390/universe12030081

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