A class of time-machine solutions with a compact vacuum core.

@article{Ori2005ACO,
  title={A class of time-machine solutions with a compact vacuum core.},
  author={Amos Ori},
  journal={Physical review letters},
  year={2005},
  volume={95 2},
  pages={
          021101
        }
}
  • A. Ori
  • Published 7 July 2005
  • Physics, Mathematics
  • Physical review letters
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… 
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  • Physics
    Einstein Equations: Physical and Mathematical Aspects of General Relativity
  • 2019
This work is essentially a review of a new spacetime model with closed causal curves, recently presented in another paper (Class. Quantum Grav. \textbf{35}(16) (2018), 165003). The spacetime at issue
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References

The Large Scale Structure of Space-Time
TLDR
The theory of the causal structure of a general space-time is developed, and is used to study black holes and to prove a number of theorems establishing the inevitability of singualarities under certain conditions.