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February 22, 2026International Journal of Geometric Methods in Modern Physics0 citations

Evolution of the Hubble Parameter in Non-Linear f ( T ) Theory of Gravity

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DPD. D. PawarPGP. S. GaikwadNGN. G. Ghungarwar

Key Points

  • The research aims to investigate the Hubble parameter's evolution in a non-linear gravity framework and its implications for cosmic acceleration.
  • Analyzed late time cosmology in a teleparallel framework.
  • Fitted a non-linear model to 57 Hubble measurements and Pantheon supernova data.
  • Obtained best fit values for key parameters.
  • Evaluated the deceleration parameter and transition redshift.
  • The model accurately reflects the observed rise of the Hubble parameter.
  • Showed continuous acceleration, confirmed by the value of the Hubble parameter today.
  • Produced almost constant Om diagnostic close to ΛCDM values.
  • Negative pressure indicated an accelerating effective fluid.

Abstract

We study late time cosmology in the teleparallel framework using a simple and data driven form of the Hubble rate, Formula: see text. We test nonlinear model Formula: see text. This setup keeps the background fully analytic and gives closed expressions for Formula: see text, Formula: see text, and Formula: see text. We fit the model to 57 observational Hubble measurements and to the Pantheon supernova sample and obtain tight best fit values for Formula: see text and Formula: see text. The model follows the observed rise of Formula: see text up to Formula: see text and matches the distance modulus over the full range. The deceleration parameter shows the expected change of sign. The transition redshift is Formula: see text for the Hubble data and Formula: see text for the Pantheon data. Today we find Formula: see text, which confirms ongoing acceleration. The Om diagnostic is nearly constant near Formula: see text and close to the Formula: see textCDM value. It changes only mildly at higher redshift and shows no unphysical features. The pressure is negative at late times and the energy condition combinations behave in a regular way. This is consistent with an accelerating effective fluid. Information criteria such as AIC and BIC prefer Formula: see textCDM for the same Hubble set, but our teleparallel models still track the data well and allow controlled departures at earlier epochs. Overall, this framework gives a compact and clear description of cosmic acceleration that agrees with present data.

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Cite This Study

Pawar et al. (2026) studied this question.

synapsesocial.com/papers/699a9d65482488d673cd3424https://doi.org/10.1142/s0219887826501720
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