International Journal of Geometric Methods in Modern Physics, 2025 (SCI-Expanded)
In this study, we investigate the late-time isotropy of the Universe within the framework of f(Q,T) gravity. Using the Locally Rotationally Symmetric (LRS) Bianchi-I cosmological model, we explore the evolution of the Universe in an anisotropic setting with a perfect fluid source. By employing observational constraints from Baryon Acoustic Oscillations (BAO), Cosmic Chronometers (CC), and Standard Candles (SC), we analyze the viability of the model and its implications for cosmic acceleration. We derive the modified field equations in f(Q,T) gravity and specialize in the case of f(Q,T) = Q + βT, where β is a model parameter. We study the evolution of the Hubble parameter, deceleration parameter, and the anisotropy parameter to assess the transition from an initially anisotropic state to an isotropic Universe at late times. Our results show that the model successfully reproduces the observed cosmic expansion and provides a consistent late-time behavior, supporting the transition to isotropy. Furthermore, we place constraints on the model parameters using a Markov Chain Monte Carlo (MCMC) analysis and compare our results with the standard ΛCDM model. The best-fit value of the deceleration parameter at present is found to be q0 = -0.7269-0.0004+0.0003, indicating a Universe undergoing accelerated expansion. This study highlights the significance of alternative gravity theories in explaining cosmic evolution and suggests that f(Q,T) gravity provides a compelling framework for understanding the isotropic nature of the Universe at late times.