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Is there any correction to Newtons law of Gravity that takes into account the expansion of the universe?

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  • $\begingroup$ Yes and No. It's modified is for dark non-baryonic matter and It's called MOND - Modified Newtonian Dynamics. See arxiv.org/abs/1404.7661. There's BIMOND theory which produces a parameter in the cosomological constant. $\endgroup$ – Cinaed Simson May 13 at 20:40
  • $\begingroup$ @CinaedSimson that appears to be an answer $\endgroup$ – Kyle Kanos May 15 at 23:52
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Long before you can address that you need to switch from Newton's description of gravity to Einstein's. General relativity includes the Einstein field equation $R_{ab}-\frac{R-2\Lambda}{2}g_{ab}=\kappa T_{ab}$. Dark energy is represented by $\Lambda$. It's difficult to relate this back to Newtonian physics because a point mass's gravity in an otherwise flat spacetime has $R=0$.

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