Does dark matter act gravitationaly to itself.If Yes, why does not form more compact objects? Can this be explained as its components have enough kinetic energy to overcome the collapse?
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Yes, dark matter acts on itself via gravity, why wouldn't it. It can't form compact objects because it can't shed angular momentum, as explained here: If dark matter only interacts with gravity, why doesn't it all clump together in a single point?
rfl
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