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Published September 1975 | public
Journal Article Open

A toroidal solution of the vacuum Einstein field equations

Thorne, Kip S.

Abstract

This paper presents a new solution to the vacuum Einstein field equations for the static external gravitational field of a toroidal singularity. This solution is unique among known toroidal solutions in that the singularity is locally cylindrically symmetric; near it the spacetime geometry becomes that of an infinite line mass ("Levi-Civita metric").

Additional Information

© 1975 American Institute of Physics. Received 6 May 1975. For helpful discussions I wish to thank Dieter Brill, Achilles Papapetrou, and John A. Wheeler.

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August 22, 2023
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