Could Anti de Sitter space explain galaxy rotation w/o dark matter?

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Observations of distant supernova suggests we live in a deSitter Universe, with cold dark matter invoked to explain galaxy rotation curve. Since direct DM detection experiments have come up null, could the presence of matter in the vaccum cause spacetime around it to become Anti de Sitter, one that could explain galaxy rotation curve without invoking dark matter?

Suppose within a galaxy, space is Anti de Sitter, could it have a value that then appears to make gravity stronger than is accounted for by its baryonic content?
 

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