标题： 能量密度非均匀性与多项式$f(R)$宇宙学 显示英文标题

标题： Energy Density Inhomogeneities with Polynomial $f(R)$ Cosmology

摘要： 在本文中，我们研究多项式$f(R)$模型对自引力球形恒星物体均匀能量密度稳定性的影响。 为此，我们构建了一组演化方程，这些方程将Weyl张量与物质参数联系起来。 我们探讨了导致密度不均匀性的不同因素，包括非耗散的尘埃、各向同性以及各向异性流体和耗散的尘埃云。 我们发现剪切、压力、耗散参数和$f(R)$项会影响不均匀能量密度的存在。 显示英文摘要

摘要： In this paper, we study the effects of polynomial $f(R)$ model on the stability of homogeneous energy density in self-gravitating spherical stellar object. For this purpose, we construct couple of evolution equations which relate the Weyl tensor with matter parameters. We explore different factors responsible for density inhomogeneities with non-dissipative dust, isotropic as well as anisotropic fluids and dissipative dust cloud. We find that shear, pressure, dissipative parameters and $f(R)$ terms affect the existence of inhomogeneous energy density.