$H_0$ Tension in Torsion-based Modified Gravity

Abstract

The rising concern in the Hubble constant tension ($H_0$ tension) of the cosmological models motivates the scientific community to search for alternative cosmological scenarios that could resolve the $H_0$ tension. In this regard, we aim to work on a torsion-based modified theory of gravity which is an alternative description to the coherence model. We solve numerically for the Hubble parameter using two exponential Lagrangian functions of torsion $T$ and a trace of energy-momentum tensor $\mathcal{T}$ for the dust case. Further, we constrain the cosmological and model parameters; to do that, we use Hubble, SNe Ia, Baryon Acoustic Oscillations, Cosmic Microwave Background samples, and Markov Chain Monte Carlo (MCMC) simulation through Bayesian statistics. We obtain the values of Hubble constant $H_0$ for our model, and the outputs align with the recent observational measurements of $H_0$. In addition, we check the deviation of our results from model-independent measurements of $H_0$ from Planck2018, S$H_0$ES, and $H_0$LiCOW experiments. In contrast, our finding partially solved the $H_0$ tension but gave a new possible direction to alleviate the $H_0$ tension.

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• Big Bang Nucleosynthesis constraints on $f(T,\mathcal{T})$ gravity
• Constraining extended teleparallel gravity via cosmography: A model-independent approach
• Dynamical system analysis of scalar field cosmology in coincident $f(Q)$ gravity
• Investigating early and late-time epochs in $f(Q)$ gravity
• Probing Baryogenesis in $f(Q)$ gravity
• Chebyshev cosmography in the framework of extended symmetric teleparallel theory
• Schrödinger Connections: From Mathematical Foundations Towards Yano-Schrödinger Cosmology
• Slow-roll inflation in $f(T,\mathcal{T})$ modified gravity
• Impact of gravitational waveform model systematics on the measurement of the Hubble constant
• Inflation in non-local hybrid metric-Palatini gravity
• Gravitational Waves on Charged Black Hole Backgrounds in Modified Gravity
• BBN to Late-Time Acceleration in $f(T,{\mathcal{L}}_m)$ Gravity
• Local Limit of Nonlocal Gravity: A Teleparallel Extension of General Relativity