In 1936 van Stockum solved the Einstein equations for the gravitational field of a rapidly rotating infinite cylinder. It is shown that such a field violates causality, in the sense that it allows a closed timelike line to connect any two events in spacetime. This suggests that a finite rotating cylinder would also act as a time machine.

Frank J. Tipler, Rotating cylinders and the possibility of global causality violation, Physical Review D, vol. 9, Issue 8, pp. 2203-2206, april 1974

https://www.franktipler.com/tipler-rotating-cylinders.pdf