This paper copes with the issue of analyzing the conditions to check the stability of the pressure isotropy condition by taking into account a spherically symmetric dissipative astrophysical configuration with the Palatini f(R) gravity theory. We work out a differential equation in terms of the Weyl scalar that has a crucial part in the analysis of evolution of considered system. Using this equation, we devise another stellar equation that characterizes the evolution of anisotropic factor. Later, we assume an axially symmetric configuration and extend our analysis for that particular symmetry. It is worth-observing that the physical factors responsible for compelling an initially isotropic object to trigger pressure anisotropy incorporate energy density, dissipative flux and shear in fluid flow.

中文翻译：

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帕拉蒂尼 f(R) 重力压力各向同性条件的稳定性

本文通过考虑球对称耗散天体物理配置与帕拉蒂尼解决了分析条件以检查压力各向同性条件稳定性的问题F(R)引力理论。我们根据外尔标量计算出一个微分方程，该方程在分析所考虑系统的演化中具有关键作用。利用这个方程，我们设计了另一个描述各向异性因子演化的恒星方程。稍后，我们假设一个轴对称配置并扩展我们对该特定对称性的分析。值得观察的是，导致初始各向同性物体触发压力各向异性的物理因素包括流体流动中的能量密度、耗散通量和剪切。