The center of attention of this article is to examine the dynamics of conformally flat anisotropic spheres in the background of electromagnetic field satisfying the polytropic equations of state. We have resorted to the general framework developed in Herrera and Barreto (2013) that helps to inspect the rudimentary attributes of polytropic spheres in the framework of a particular $f\left(R\right)$ gravity. We explored physical constraints for couple of families of relativistic polytropes in this scenario. By making use of conformally flat condition, the stability of such polytropes is then checked analytically via the Tolman-mass. We conclude that electromagnetic field produces the same role as that of anisotropic pressure and the configurations made are quite compact.

本文的重点是在满足多态状态方程的电磁场背景下研究保形平坦的各向异性球体的动力学。我们诉诸于Herrera和Barreto（2013）开发的通用框架，该框架有助于在特定框架下检查多方球体的基本属性。$F（\mathrm{[R}）$重力。在这种情况下，我们探索了相对论多向性对夫妇的物理约束。通过利用保形平坦的条件，然后通过托曼质量分析地检查这种多向性的稳定性。我们得出的结论是，电磁场产生与各向异性压力相同的作用，并且所形成的结构非常紧凑。