标题： 物质与曲率的非最小耦合引起的球形物体周围度规的扰动 显示英文标题

标题： Perturbation of the metric around a spherical body from a nonminimal coupling between matter and curvature

摘要： 在本工作中，展示了引力的非最小耦合模型对扰动的闵可夫斯基度规的影响。 该模型的作用泛函涉及两个函数$f^1(R)$和$f^2(R)$，它们是里奇标量曲率$R$的函数。 基于对两个函数$f^1(R)$和$f^2(R)$在$R = 0$附近的泰勒展开，我们发现球形物体周围的度规是对弱场施瓦茨希尔德度规的扰动：时间扰动被证明是一个牛顿项加上尤卡夫项，可以利用现有的实验结果进行约束。 我们得出结论，结合广义再加热机制的斯塔罗宾斯基暴胀模型并未受到观测的实验约束。 该模型的测地进动效应也被证明对约束无关紧要。 显示英文摘要

摘要： In this work, the effects of a nonminimally coupled model of gravity on a perturbed Minkowski metric are presented. The action functional of the model involves two functions $f^1(R)$ and $f^2(R)$ of the Ricci scalar curvature $R$. Based upon a Taylor expansion around $R = 0$ for both functions $f^1(R)$ and $f^2(R)$, we find that the metric around a spherical object is a perturbation of the weak-field Schwarzschild metric: the time perturbation is shown to be a Newtonian plus Yukawa term, which can be constrained using the available experimental results. We conclude that the Starobinsky model for inflation complemented with a generalized preheating mechanism is not experimentally constrained by observations. The geodetic precession effects of the model are also shown to be of no relevance for the constraints.