Gravity and Signature Change

@article{Dray1997GravityAS,
  title={Gravity and Signature Change},
  author={Tevian Dray and George A. Ellis and Charles Hellaby and Corinne A. Manogue},
  journal={General Relativity and Gravitation},
  year={1997},
  volume={29},
  pages={591-597}
}
The use of proper “time” to describe classical “spacetimes” which contain both Euclidean and Lorentzian regions permits the introduction of smooth (generalized) orthonormal frames. This remarkable fact permits one to describe both a variational treatment of Einstein's equations and distribution theory using straightforward generalizations of the standard treatments for constant signature. 
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