In this paper, we have investigated the stability of General Relativistic Hydrodynamics (GRHD) model in a Friedmann–Robertson–Walker space-time with the volumetric power law in teleparallel gravity. The basic equations are derived along with its thermodynamical aspects. Thermodynamic temperature and entropy density of the model are also obtained. The state finder diagnostic pair and jerk parameter are analyzed to characterize different phases of the universe and the well-known astrophysical phenomena such as look-back time, the luminosity distance with redshift are derived. The model shows an accelerated expansion with inflationary era in the early and the very late time of the cosmic evolution. The GRHD model is stable at the early phases of the universe and is unstable at late times.

中文翻译：

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扩展远平行重力观测参数及稳定性分析

在本文中，我们研究了广义相对论流体动力学（GRHD）模型在弗里德曼-罗伯逊-沃克时空与远平行引力中的体积幂律的稳定性。推导出基本方程及其热力学方面。还得到了模型的热力学温度和熵密度。分析状态查找器诊断对和加加速度参数来表征宇宙的不同阶段，并推导出众所周知的天体物理现象，如回溯时间、光度距离和红移。该模型显示了宇宙演化早期和晚期伴随暴胀时代的加速膨胀。GRHD 模型在宇宙的早期阶段是稳定的，在后期是不稳定的。