The question of whether or not the universes expansion is accelerating is still unresolved.
However, gravity opposes the inertial tendency generated by the big bang. However as things get further apart, gravitational attraction becomes weaker.
The qusetion today is :
"Can gravity slow down stuff enough before it gets too far apart.... if so, will gravitational attraction cause it to collapse back in on itself or is the unvierse tending towards a steady state solution?"
P.S. all of you gravity is weakest posters. You have to put contect to your statement. Yes, gravity is the weakest of the forces. However in our macroscopic world, things tend to be largely electrically neutral. Therefore, human beings experience gravity WAY more than any of the other forces. In fact, on scales of the universe, gravity is the only force that matters.