Panorama behaviors of general relativistic hydrodynamics and holographic dark energy in f (R, T) gravity

The main motive of this study is to investigate behaviors of general relativistic hydrodynamics in the form of perfect fluid and holographic dark energy for anisotropic and homogenous space-time in the framework of f (R, T) gravity. The field equations are solved using (i) the shear scalar of the metric is proportional to the expansion scalar which results a relationship between metric potentials and (ii) special law of variation of Hubble's parameter (Berman (1983)) that yields constant deceleration parameter. The cosmological parameters like energy density, EoS parameter, statefinder parameters, jerk parameter, thermodynamic temperatures and entropy densities of the models are obtained and discussed their physical significance in the light of the recent scenario of accelerated expansion of the universe and cosmological observations. The well-known astrophysical phenomena, namely the Hubble parameter H(z), luminosity distance (dL) and distance modulus mu(z)with redshift are studied.