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For example, if new space is created at a uniform rate in 'empty' space i.e. space not occupied by matter, then this in itself will lead to an acceleration of expansion because there will always be more space to expand.
I was about to post the following when your post popped up. It may not be so different from what you are saying:We "know" that matter interacts with space to produce gravity. Does matter apply some sort of "drag" on space? If so, it could tend to "glue" space together and prevent a natural tendency for expansion. In the absence of matter, space would continue to expand.That would still leave a big question. "What is driving the expansion?"