“You may hate gravity, but gravity doesn’t care.” –Clayton Christensen
If all we had were galactic rotation curves -- like those measured by Vera Rubin -- we would know that something was wrong with our picture of the Universe, but we wouldn’t know how. Two equally good explanations, that there was either a flaw in the law of gravity or there was the existence of some unseen mass, could account for what we saw. But observations of galaxy clusters point to dark matter in a dramatic fashion.
Both dark matter and the modifications one can make to gravity to explain galactic rotation make specific predictions for other phenomena. The motions of individual galaxies within a cluster, the bending of background light by strong lensing, the distortion of galaxy shape from weak lensing and the separation of effective mass from normal matter are four independent ways clusters can discriminate. On all four counts, they point to dark matter, not modified gravity.
Sabine has a reply of sorts:
How does our planet produce gravity,
do we have a molten core spinning at the center of the earth producing gravity?
Is that how earth produce gravity?