标题： Palatini 星：修正的Lane-Emden方程的精确解 显示英文标题

标题： The Palatini star: exact solutions of the modified Lane-Emden equation

摘要： 找到了Palatini修正的Lane-Emden方程的两个精确解$n=0$和$n=1$。 我们利用这些解来描述一个Palatini-牛顿中子星，并将其结果与纯牛顿情况进行了比较。 结果表明，对于Starobinsky模型中的负参数，恒星的质量更大且体积更大。 显示英文摘要

摘要： Two exact solutions for $n=0$ and $n=1$ of the Palatini-modified Lane-Emden equation are found. We have employed these solutions to describe a Palatini-Newtonian neutron star and compared the result with the pure Newtonian counterpart. It turned out that for the negative parameter of the Starobinsky model the star is heavier and larger.