Dark energy nature of logarithmic f(R, Lm)-Gravity models with Observational Constraints

This work explores the dark energy nature of logarithmic Formula: see text-gravity models with observational constraints, where Formula: see text represents the matter Lagrangian for perfect fluid and R is the Ricci-scalar curvature. With a matter Lagrangian Formula: see text, a flat FLRW space–time metric and an arbitrary function Formula: see text, where Formula: see text is a positive model parameter, we have derived the field equations of this model. By using the Hubble function, we have been able to solve the energy conservation equation and create a relationship between Formula: see text, Formula: see text and Formula: see text. Using the most recent two observational datasets as 32 Formula: see text and 1048 Pantheon SNe Ia datasets, we conducted MCMC analysis. We have obtained best fit values of model parameters with Formula: see text errors and using these values, we have explored the cosmological properties of the model. We have performed om diagnostic analysis for the model and estimated the present age of the universe. Thus our derived model presents a transit phase decelerating to accelerating model without dark energy term Formula: see text. We found that the effective equation of state parameter is in the range Formula: see text over Formula: see text with present value Formula: see text.