In this letter, we investigate cosmology within the framework of modified f(Q,Lm) gravity using the non-linear model f(Q,Lm)=−Q+αLmn+β, where α, β, and n are free parameters. The modified Friedmann equations are derived for a matter-dominated universe, and an analytical solution is obtained. Using Hubble, Pantheon+, and joint datasets, we constrain the model parameters and examine their implications. The results indicate that the model accommodates varying H0 values, contributing to the Hubble tension, while n=1 suggests deviations from general relativity (GR). The deceleration parameter confirms a transition to acceleration at zt≈0.6−0.8, with present values supporting cosmic acceleration. This model offers a viable alternative to GR-based cosmology.
@article{arxiv.2505.00208,
title = {Modified cosmology in $f(Q, L_m)$ gravity},
author = {Y. Myrzakulov and Alnadhief H. A. Alfedeel and M. Koussour and S. Muminov and E. I. Hassan and J. Rayimbaev},
journal= {arXiv preprint arXiv:2505.00208},
year = {2025}
}