Single word for "Expanding and Contracting"

Solution 1:

I suggest you change you sentence slightly, which would give you the flexibility to use lots of different words:

There is a theory that the size of the universe is _____.

Especially with words like oscillate, you have to tell us what is oscillating. There are a few words like pendulate that are more specific about what's going on, but oscillate only tells you that something is changing magnitude, not what is changing magnitude.