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 $H\left(z\right)$, luminosity distance ($d_L$) and distance modulus $\mu \left(z\right)$with redshift are studied.

本研究的主要动机是在各向异性和均匀时空的框架内，以完美流体和全息暗能量的形式研究广义相对论流体动力学的行为。 $f(\mathrm{电阻},吨)$重力。场方程的求解使用 (i) 度量的剪切标量与膨胀标量成正比，这导致度量势之间的关系和 (ii) 产生恒定减速参数的哈勃参数的特殊变化定律（Berman (1983)） . 获得模型的能量密度、EoS 参数、状态探测器参数、急动参数、热力学温度和熵密度等宇宙学参数，并结合最近宇宙加速膨胀的情景和宇宙学观测讨论了它们的物理意义。著名的天体物理现象，即哈勃参数$高\left(z\right)$, 光度距离 ($d_{升}$) 和距离模数 $\mu \left(z\right)$与红移进行了研究。