Can $f(T)$ gravity resolve the $H_0$ tension?

Abstract

Motivated by the discrepancy in measurements of $H_0$ between local and global probes, we investigate whether teleparallel gravities could be a better model to describe the present days observations or at least to alleviate the $H_0$ tension. Specifically, in this work we study and place constraints on three popular $f(T)$ models in light of the Planck-2018 CMB data release. We find that the $f(T)$ power-law model can alleviate the $H_0$ tension from $4.4\sigma$ to $1.9\sigma$ level, while the $f(T)$ model of two exponential fail to resolve this inconsistency. Moreover, for the first time, we obtain constraints on the effective number of relativistic species $N_{eff}$ and on the sum of the neutrino masses $\Sigma m_{\nu }$ in $f(T)$ gravity. We find that the constraints obtained are looser than in $\Lambda$CDM. However, the introduction of massive neutrinos into the cosmological model alleviate the $H_0$ tension for the power-law model. Finally, we find that whether a viable $f(T)$ theory can mitigate the $H_0$ tension depends on the mathematical structure of the distortion factor $y(z,b)$. These results could provide a clue for theoreticians to write a more physical-motivated expression of $f(T)$ function.

13 pages, 8 figs. figs and refs added. Accepted in PRD

References in corpus (15)

• Large Magellanic Cloud Cepheid Standards Provide a 1% Foundation for the Determination of the Hubble Constant and Stronger Evidence for Physics Beyond LambdaCDM
• Dark torsion as the cosmic speed-up
• Einstein's Other Gravity and the Acceleration of the Universe
• The trouble with $H_0$
• Observational constraints on $f(T)$ theory
• Early Dark Energy Does Not Restore Cosmological Concordance
• Can Late Dark Energy Transitions Raise the Hubble constant?
• Tension between the power spectrum of density perturbations measured on large and small scales
• Dark sector interaction: a remedy of the tensions between CMB and LSS data
• Neutrino cosmology and Planck
• Addressing $H_0$ tension with emergent dark radiation in unitary gravity
• Reducing the $H_0$ tension with generalized Proca theory
• Constraining viscous dark energy models with the latest cosmological data
• No evidence for dynamical dark energy in two models
• Finslerian Universe May Reconcile Tensions between High and Low Redshift Probes

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