Within [Formula: see text] gravity, we study the linear stability of strongly gravitating spherically symmetric configurations supported by a polytropic fluid. All calculations are carried out in the Jordan frame. It is demonstrated that, as in general relativity, the transition from stable to unstable systems occurs at the maximum of the curve mass-central density of the fluid.

中文翻译：

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R2重力下多变流体球的线性稳定性

在[公式：见文本]重力中，我们研究了由多向流体支持的强引力球对称配置的线性稳定性。所有计算均在 Jordan 框架中进行。证明了，与广义相对论一样，从稳定系统到不稳定系统的转变发生在流体的曲线质心密度的最大值处。