Did the Buddha endorse a cyclical cosmology?

One of my physics professors implied that Buddhism is false because, unlike the Abrahamic religions, Buddhism claims a cyclical cosmology. He argued that since the universe is expanding and its expansion is speeding up, the universe cannot be cyclical. I was under the impression that the idea of a cyclical universe was carried over from Hinduism into Buddhism implicitly and that the Buddha never made any claims regarding cosmology. Did the Buddha suggest a cyclical universe?