Time travel paradox

@article{Krasnikov2002TimeTP,
  title={Time travel paradox},
  author={Serguei Krasnikov},
  journal={Physical Review D},
  year={2002},
  volume={65},
  pages={064013}
}
We define the time travel paradox in physical terms and prove its existence by constructing an explicit example. We argue further that in theories\char22{}such as general relativity\char22{}where the spacetime geometry is subject to nothing but differential equations and initial data no paradoxes arise. 

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