Accelerating Expansion: Is there a Positive Feedback Loop?

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If vacuum energy accelerates the expansion rate of the universe and that produces a larger universe with more vacuum energy to accelerate the expansion is there a positive feedback loop here? Does the expansion rate grow exponentially? Do we get another big bang? Is it a big bang in it's inflationary period? If it stops the same way our inflationary period stopped (unknown) will that be the birth of the next universe?
 
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