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We investigate the influence of bulk viscosity on late-time cosmic acceleration within an extended f (Q, Lₘ) gravity framework, where the non-metricity Q is non-minimally coupled with the matter Lagrangian Lₘ. Analyzing the function f (Q, Lₘ) = Q + Lₘ, we derive exact solutions under non-relativistic matter domination. Using observational datasets (H (z), Pantheon supernovae, and their combination), we constrain the model parameters H₀, , , and. The deceleration parameter transitions from positive to negative values around redshifts zₜ 0. 80 to 0. 99, indicating current accelerated expansion. Moreover, the effective equation of state parameter, ₄₅₅, resembles quintessence dark energy (-1 < ₄₅₅ < -13), with corresponding values from respective datasets. Finally, we use the Om (z) diagnostic, which confirms that our model demonstrates quintessence-like behavior. Our findings underscore the significant role of bulk viscosity in understanding accelerated expansion in the universe within alternative gravity theories.
Myrzakulov et al. (Thu,) studied this question.