标题： 球对称天体在f(R)引力中的普遍结构 显示英文标题

标题： Universal structure of spherically symmetric astrophysical objects in f(R) gravity

摘要： 静态球对称（SSS）引力构型在f(R)引力中被研究，当标量子质量足够大时，情况为$\mu$。 主要关注描述渐近平坦系统的真空SSS解。 在不同的f(R)模型中，$\mu$从几个meV变化到$\sim 10^{13}$Gev，对于典型的天体物理质量$M$，产生非常大的无量纲参数（以普朗克单位表示）$M\mu$。 我们识别出一种爱因斯坦框架下的标量子势能类，该类包含几个著名的模型，并允许对 $M\mu\gg 1$的SSS物体进行直接的解析描述。 近似解很好地描述了强标量子场和弱标量子场区域中的SSS构型，并在考虑的标量子势能类中表现出显著相似的性质，对于天体物理上有意义的情况。 结果通过数值模拟得到确认。 显示英文摘要

摘要： Static spherically symmetric (SSS) gravitational configurations in f(R) gravity are studied in case of a sufficiently large scalaron mass $\mu$. The primary focus is on vacuum SSS solutions describing asymptotically flat systems. In different f(R) models $\mu$ varies from several meV to $\sim 10^{13}$Gev yielding very large dimensionless (in Planck units) parameter $M\mu$ for a typical astrophysical mass $M$. We identify a class of scalaron potentials in the Einstein frame of f(R) gravity that encompasses several well-known models and permits a straightforward analytical description of SSS objects for $M\mu\gg 1$. The approximate solutions describe well the SSS configurations in regions of both strong and weak scalaron fields and demonstrate remarkably similar properties across the considered class of scalaron potentials for astrophysically significant cases. The results are confirmed by numerical simulations.