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PreprintarXiv licencearXiv

Non-Metricity Corrections Approach to Alleviate H0 Tension: The Logarithmic and Nonlinear f(Q) Models

Abstract

The persistent discrepancy between early-time and late-Universe measurements of the Hubble constant commonly known as the H0 tension remains one of the most pressing open questions in modern cosmology. In this work, we explore whether modifications to the gravitational sector, specifically within the framework of symmetric teleparallel gravity, can offer a viable pathway toward alleviating this tension. We consider two functional forms of f(Q) gravity: a logarithmic model and a nonlinear saturation model, both of which introduce geometric corrections to the standard expansion history without invoking a cosmological constant. Constraining these models through a Bayesian MCMC analysis against a comprehensive suite of observational data, including cosmic chronometers, Type Ia supernova compilations (Pantheon, Pantheon+SH0ES, and DES SN5YR), and BAO measurements from SDSS and DESI, we find that both models remain statistically competitive with ΛCDM. The logarithmic model, in particular, consistently infers intermediate values of H0 between the \textit{Planck} and SH0ES benchmarks across all dataset combinations, and carries lower AIC and BIC penalties, establishing it as the more promising candidate for partially easing the H0 tension within a modified gravity framework.

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BibTeX
@misc{bhagat2026nonmetricity,
  title = {{Non-Metricity Corrections Approach to Alleviate $H_0$ Tension: The Logarithmic and Nonlinear $f(Q)$ Models}},
  author = {Rahul Bhagat and Kesava Chodavarapu and B. Mishra},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2606.22262},
  eprint = {2606.22262},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.22262},
}
RIS
TY  - UNPB
TI  - Non-Metricity Corrections Approach to Alleviate H_0 Tension: The Logarithmic and Nonlinear f(Q) Models
AU  - Rahul Bhagat
AU  - Kesava Chodavarapu
AU  - B. Mishra
PY  - 2026
DA  - 2026/10/12
PB  - arXiv
DO  - 10.48550/arxiv.2606.22262
UR  - https://arxiv.org/abs/2606.22262
AB  - The persistent discrepancy between early-time and late-Universe measurements of the Hubble constant commonly known as the H_0 tension remains one of the most pressing open questions in modern cosmology. In this work, we explore whether modifications to the gravitational sector, specifically within the framework of symmetric teleparallel gravity, can offer a viable pathway toward alleviating this tension. We consider two functional forms of f(Q) gravity: a logarithmic model and a nonlinear saturation model, both of which introduce geometric corrections to the standard expansion history without invoking a cosmological constant. Constraining these models through a Bayesian MCMC analysis against a comprehensive suite of observational data, including cosmic chronometers, Type Ia supernova compilations (Pantheon, Pantheon+SH0ES, and DES SN5YR), and BAO measurements from SDSS and DESI, we find that both models remain statistically competitive with ΛCDM. The logarithmic model, in particular, consistently infers intermediate values of H_0 between the \textit{Planck} and SH0ES benchmarks across all dataset combinations, and carries lower AIC and BIC penalties, establishing it as the more promising candidate for partially easing the H_0 tension within a modified gravity framework.
ER  -