标题： 暗能量，MOND和引力的亚毫米测试 显示英文标题

标题： Dark energy, MOND and sub-millimeter tests of gravity

摘要： 我们考虑通过在爱因斯坦-希尔伯特作用量中添加某些曲率不变量的对数来修改广义相对论。 这些非线性作用量可以解释宇宙的晚期加速膨胀，给出与纯宇宙学常数不同的膨胀历史。 我们表明，它们还会在由晚期哈勃常数乘以光速所给定的固定加速度尺度以下修改牛顿势。 这正是MOND所要求的，MOND是一种现象学上的牛顿势修改，能够解释星系旋转曲线而无需引入暗物质。 我们表明，这种修改还会预测亚毫米尺度下的牛顿定律短距离偏差，以及月球绕地球轨道进动的异常位移，这两种效应的大小都低于当前限制一个数量级以下。 显示英文摘要

摘要： We consider modifications of General Relativity obtained by adding the logarithm of some curvature invariants to the Einstein-Hilbert action. These non-linear actions can explain the late-time acceleration of the universe giving an expansion history that differs from that of a pure cosmological constant. We show that they also modify the Newtonian potential below a fixed acceleration scale given by the late-time Hubble constant times the speed of light. This is exactly what is required in MOND, a phenomenological modification of the Newtonian potential that is capable of explaining galactic rotation curves without the need to introduce dark matter. We show that this kind of modification also predicts short distance deviations of Newton's law at the sub-mm scale and an anomalous shift in the precession of the Moon's orbit around the Earth, both effects of a size that is less than an order of magnitude below current bounds.