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Modified cosmology in f(Q,L) gravity

Yerlan MyrzakulovDepartment of General & Theoretical Physics, L.N. Gumilyov Eurasian National University, Astana, 010008, KazakhstanAlnadhief H. A. AlfedeelDepartment of Mathematics and Statistics, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 13318, Saudi ArabiaM. KoussourDepartment of Physics, University of Hassan II Casablanca, MoroccoS. MuminovMamun University, Bolkhovuz Street 2, Khiva 220900, UzbekistanE. I. HassanDepartment of Mathematics and Statistics, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 13318, Saudi ArabiaJavlon RayimbaevNew Uzbekistan University, Movarounnahr Street 1, Tashkent 100007, Uzbekistan
Physics Letters Bjournal2025en
ABI

Abstract

In this letter, we investigate cosmology within the framework of modified f ( Q , L m ) gravity using the non-linear model f ( Q , L m ) = − Q + α L m n + 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 H 0 values, contributing to the Hubble tension, while n ≠ 1 suggests deviations from general relativity (GR). The deceleration parameter confirms a transition to acceleration at z t ≈ 0.6 − 0.8 , with present values supporting cosmic acceleration. This model offers a viable alternative to GR-based cosmology.

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