The Big Crunch
If dark energy were to decrease rapidly then matter would be the dominate force, causing the expansion of the universe to slow down, stop, and reverse until the universe collapsed on itself.
The Big Rip
If dark energy were to increase rapidly then dark energy would be the dominate force, causing the universe to expand to the point where gravity would break down and the universe would fly apart.
The Big Chill
If the universe just slowed in its expansion but never stopped you have what astronomers refer to as the Big Chill. As dark energy took over as the dominate force. everything in the universe would drift farther and farther apart. The galaxies would be too far apart to be visible to each other and the stars would eventually die out until the universe was cold and dark.
Sources:
Kay, Laura. Palen, Stacy. Smith, Brad. Blumenthal, George. 21st Century Astronomy. New York. WW Norton. Print. 2013
HubbleSite staff. "Fate of the Universe." Hubblesite.org. 2016. Space Telescope Science Institute. Web. 28 Apr 16
http://hubblesite.org/hubble_discoveries/dark_energy/de-fate_of_the_universe.php

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