Phys. Rev. Lett. 95, 021101 (2005) [4 pages]A Class of Time-Machine Solutions with a Compact Vacuum CoreReceived 17 March 2005; published 7 July 2005 We present a class of curved-spacetime vacuum solutions which develop closed timelike curves at some particular moment. We then use these vacuum solutions to construct a time-machine model. The causality violation occurs inside an empty torus, which constitutes the time-machine core. The matter field surrounding this empty torus satisfies the weak, dominant, and strong energy conditions. The model is regular, asymptotically flat, and topologically trivial. Stability remains the main open question. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.95.021101
DOI:
10.1103/PhysRevLett.95.021101
PACS:
04.20.Jb, 04.20.Gz
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