Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published September 1975 | public
Journal Article Open

A toroidal solution of the vacuum Einstein field equations

Thorne, Kip S.


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.


Files (426.4 kB)
Name Size Download all
426.4 kB Preview Download

Additional details

August 22, 2023
October 16, 2023