Nonlocal gravity (NLG) is a classical nonlocal generalization of Einstein’s theory of gravitation developed in close analogy with the nonlocal electrodynamics of media. It appears that the nonlocal aspect of the universal gravitational interaction could simulate dark matter. Within the Newtonian regime of NLG, we investigate the deviation of the gravitational force from the Newtonian inverse square law as a consequence of the existence of the effective dark matter. In particular, we work out the magnitude of this deviation in the solar system out to 100 astronomical units. Moreover, we give an improved lower limit for the short-range parameter of the reciprocal kernel of NLG.

中文翻译：

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非局域引力：太阳系牛顿引力的修正

非局域引力 (NLG) 是爱因斯坦引力理论的经典非局域推广，其发展与介质的非局域电动力学非常相似。看来，万有引力相互作用的非局部方面可以模拟暗物质。在 NLG 的牛顿体系内，我们研究了由于有效暗物质的存在而导致的引力与牛顿平方反比定律的偏差。特别是，我们计算出太阳系中这种偏差的幅度，达到 100 个天文单位。此外，我们对 NLG 倒数核的短程参数给出了改进的下限。