We determine the conditions for which the constraints from lunar laser ranging on the time evolution of the local gravitational constant can be extrapolated to impose constraints on the time evolution of the cosmological gravitational constant in scalar-tensor theories of modified gravity. We allow for the possibility that the scalar-tensor theories are non-linear and contain a screening mechanism. This results in strong constraints on the running of the cosmological Planck mass described by the Horndeski function $|\alpha_M|\lesssim 0.002$. We find that our assumptions are valid for most Vainshtein and kinetic screening models, where the shift symmetry $\phi\rightarrow\phi + c$ holds, but are violated by some Chameleon and Symmetron screening models, where the macroscopic equivalence principle is broken.

中文翻译：

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用 G 的时间变化的局部测量来约束标量张量理论的宇宙演化

我们确定了可以外推月球激光测距对局部引力常数时间演化的约束的条件，以对修正引力的标量张量理论中的宇宙学引力常数的时间演化施加约束。我们允许标量张量理论是非线性的并且包含筛选机制的可能性。这导致对由 Horndeski 函数 $|\alpha_M|\lesssim 0.002$ 描述的宇宙学普朗克质量的运行产生强约束。我们发现我们的假设适用于大多数 Vainshtein 和动力学筛选模型，其中位移对称性 $\phi\rightarrow\phi + c$ 成立，但被一些变色龙和 Symmetron 筛选模型违反，其中宏观等效原理被破坏。