A reconstruction of modified holographic Ricci dark energy in f(R, T) gravity

In this paper, we consider a recently proposed model of dark energy (DE) know as modified holographic Ricci DE (which is function of the Hubble parameter and its first derivative with respect to cosmic time, t) in light of the f(R, T) model of modified gravity, considering the particular model f(R, T) = mu R + nu T, with mu and nu constants. The equation of state parameter omega(Lambda) approaches but never reaches the value -1, implying a quintessence-like behavior of the model. The deceleration parameter q passes from decelerated to accelerated phase at a redshift of z = 0.2, showing also a small dependence from the values of the parameters considered. Thanks to the statefinder diagnostic analysis, we observed that the Lambda CDM phase for the considered model is attainable. We observed that the fractional energy densities for DE and dark matter, Omega(Lambda) and Omega(m), have an increasing and a decreasing pattern, respectively, with the evolution of the universe, indicating an evolution from matter to DE dominated universe. Finally, studying the squared speed of the sound nu(2)(s) for our model, we found that it is classically stable.