Could the expansion of universe be a side effect of gravity? Could the expansion of universe be a side effect of gravity? I mean maybe gravity "attracts things" at a "small" distances and repells them at "larger" distances?

Do we have any theory/hypothesis/paper on this topic? Is it possible to prove or disprove?

UPD.

There is another, more clear way to ask the same question:


  Could gravity have a repulsive term that dominates at cosmological
  distances and could it be such a term that causes (accelerated)
  expansion?


Thanks to @uhoh and @Richard, for helping to clarify question a bit.
Could the expansion of universe be a side effect of gravity?


Well, everything is possible I suppose. And we do see plenty of material that talks about the expansion of the universe as a kind of repulsive gravity. But I would say no, the expansion isn't due to gravity, and it isn't some side effect of gravity. It's something different. 


  I mean maybe gravity "attracts things" at a "small" distances and repels them at "larger" distances?


It doesn't. Gravity attracts things at all distances. It follows the inverse square rule. Some people like Mordehai Milgrom say it doesn't quite follow the inverse square law, see MOND. But he isn't saying it repels at large distance. 


  Do we have any theory/hypothesis/paper on this topic? Is it possible to prove or disprove?


We have general relativity. In general relativity gravity sucks. It doesn't blow. 


  Could gravity have a repulsive term that dominates at cosmological distances and could it be such a term that causes (accelerated) expansion?


Like I said, everything is possible. But I will say no, the universe is expanding because of dark energy, not because of gravity. I rather like Erwin Schrödinger’s cosmic pressure myself. See the 2014 Cambridge companion to Einstein by Michel Janssen and ‎Christoph Lehner: “Schrödinger [1918] had pointed out another way of treating the cosmological constant: moving it from the left-hand side of Equation [7], where it represents a contribution to space-time curvature, to the right-hand side, where it represents a contribution to the energy-matter distribution. Then it would correspond physically to a kind of cosmic pressure”. Unfortunately Einstein didn’t like it. You can read more in Alex Harvey’s 2012 paper How Einstein Discovered Dark Energy. He gives a translation of Schrödinger’s paper and refers to Einstein’s response. If you were to ask a modern cosmologist, I think the answer would be that Schrödinger was pretty close to the mark. See page 252 of Relativity, Gravitation and Cosmology by Robert J Lambourne: