Phantom dark energy cosmological models in f(R,T,Lm) gravity

In the present paper, we have investigated $f(R,T,L_m)$ gravity cosmological models with a perfect fluid source in a flat Friedmann-Lemaître-Robertson-Walker (FLRW) spacetime. We analytically solved the field equations and obtained the energy density ρ, Hubble function H, scale factor a, deceleration parameter q, effective energy density ${\rho }_{eff}$, effective pressure $p_{eff}$, effective equation of state (EoS) parameter ${\omega }_{eff}$ and dark energy EoS parameter ${\omega }_{de}$. By performing Monte Carlo Markov Chain (MCMC) analysis of 31 cosmic chronometer (CC) Hubble data and 1048 apparent magnitude data of Pantheon sample of SNe Ia we get observational constraints on the model parameters $H_0$, ${\Omega }_{m0}$, α, β and ω. Using these, we investigate the behavior of the cosmological parameters, ${\rho }_{de}$, $p_{de}$, ${\omega }_{eff}$, ${\omega }_{de}$, ${\Omega }_m$, ${\Omega }_{de}$, and q. For physical acceptability, validity and viability of the derived model, we tested the energy conditions, calculated causality $c_s^2$, performed om diagnostic $Om\left(z\right)$ and also estimate the age of the Universe. We have found that our derived model shows consistency with most of the observed cosmological parameters and resembles Phantom dark energy cosmological models.