We use a modified Einstein-Maxwell gravity to study stability of an electrostatic spherical star. Correction terms in this model are scalars which are made from contraction of Ricci tensor and electromagnetic vector potential. Our motivation to use this kind of exotic Einstein-Maxwell gravity is inevitable influence of cosmic magnetic field in inflation of the universe which is observed now but its intensity suppresses in the usual gauge invariant Einstein-Maxwell gravity. In this work, we use approach of dynamical systems to obtain stability conditions of such a star and we investigate interaction parts effect of the model on the stability.

我们使用修正的爱因斯坦-麦克斯韦引力来研究静电球形恒星的稳定性。该模型中的校正项是由 Ricci 张量和电磁矢量势的收缩组成的标量。我们使用这种奇异的爱因斯坦-麦克斯韦引力的动机是宇宙磁场对宇宙膨胀的不可避免的影响，这种影响现在已经观察到，但其强度在通常的规范不变的爱因斯坦-麦克斯韦引力中受到抑制。在这项工作中，我们使用动力系统的方法来获得此类恒星的稳定性条件，并研究模型的相互作用部分对稳定性的影响。