Rotating cylinders and the possibility of global causality violation

Phys. Rev. D 9, 2203 – Published 15 April 1974
Frank J. Tipler


In 1936 van Stockum solved the Einstein equations Gμν=-8πTμν 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.


  • Received 6 November 1973
  • Published in the issue dated 15 April 1974

© 1974 The American Physical Society

Authors & Affiliations

Frank J. Tipler

  • Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742

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