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Phys. Rev. D 9, 2203–2206 (1974)

Rotating cylinders and the possibility of global causality violation

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Frank J. Tipler
Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742

Received 6 November 1973; published in the issue dated 15 April 1974

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.

© 1974 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.9.2203
DOI:
10.1103/PhysRevD.9.2203
PACS: