Hubble parameter analysis of f (R, Σ, T) gravity: Confronting theory with recent data
Shekh S.H. Yadav A.K. Dixit A. Myrzakulov N.
2025World Scientific
International Journal of Geometric Methods in Modern Physics
2025
The accelerating expansion of the universe has motivated the exploration of alternative gravity theories beyond General Relativity (GR). In this study, we investigate the cosmological implications of f(R, Σ,T) gravity, an extension of f(R,T) gravity that incorporates additional torsional scalar Σ, within a homogeneous and isotropic Friedmann-Robertson-Walker (FRW) metric. We derive the field equations and analyze the cosmic expansion, energy density, isotropic pressure, and equation of state parameter. To ensure observational consistency, we constrain the model parameters using Hubble parameter H(z) measurements and the Pantheon+ Type Ia supernovae dataset through a Markov Chain Monte Carlo (MCMC) analysis. Our findings indicate that this model naturally explains cosmic acceleration without requiring a cosmological constant, with results closely aligning with Planck data. The study further examines the energy conditions and the stability. The violation of the strong energy condition at late times supports the observed acceleration, consistent with other modified gravity frameworks. This work highlights the potential of f(R, Σ,T) gravity in explaining dark energy phenomena and motivates further theoretical and observational investigations.
accelerating universe , deceleration parameter , f (R, Σ, T) gravity , MCMC methods
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L N Gumilyov Eurasian National University, Astana, 010008, Kazakhstan
Department of Mathematics, S.P.M. Science and Gilani Arts, Commerce College, Yavatmal, Maharashtra, Ghatanji, 445301, India
Department of Physics, United College of Engineering and Research, Greater Noida, 201310, India
Department of Mathematics, Gurugram University, Haryana, Gurugram, 122003, India
L N Gumilyov Eurasian National University
Department of Mathematics
Department of Physics
Department of Mathematics
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