Tsallis, Rényi and Sharma–Mittal Holographic Dark Energy Models in $$\boldsymbol{f(R,L_{m})}$$ Gravity Theory

Abstract

We study the cosmic expansion scenario of the universe based on Tsallis, Rényi and Sharma–Mittal holographic dark energy models in the framework of $$f(R,L_{m})$$ gravity theory. A numerical solution of our $$f(R,L_{m})$$ dominated model is obtained, and then combined data sets are utilized to estimate the best-fit values of the free parameters of the model. The behavior of matter-energy density, the equation of state (EoS) parameter, and several other cosmological functions are calculated and plotted against cosmological time. For specific values of the numerical parameters of the models, it is found that our results are in good agreement with recent observations.