f（R）引力理论中的约束牛顿恒星构形
Constraining Newtonian stellar configurations in f(R) theories of gravity
摘要：
我们考虑一般的引力度量$f(R)$理论，通过解析微扰方法求解存在球形静态质量分布的场方程。系统地扩展场方程在$\cO(G)$中，我们解决了由此产生的一组方程，并表明$f(R)$理论，试图解决暗能量问题非常普遍导致$γ_{PPN}=1/2$在太阳系中。这就排除了一大类理论作为暗能量的可能解释。我们还提出了一阶校正$γ_{PPN}$，并表明它不能有显着的效果。
英文摘要：
We consider general metric $f(R)$ theories of gravity by solving the field equations in the presence of a spherical static mass distribution by analytical perturbative means. Expanding the field equations systematically in $\cO(G)$, we solve the resulting set of equations and show that $f(R)$ theories which attempt to solve the dark energy problem very generally lead to $γ_{PPN}=1/2$ in the solar system. This excludes a large class of theories as possible explanations of dark energy. We also present the first order correction to $γ_{PPN}$ and show that it cannot have a significant effect.
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