Abstract
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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Dray, T., Ellis, G., Hellaby, C. et al. Gravity and Signature Change. General Relativity and Gravitation 29, 591–597 (1997). https://doi.org/10.1023/A:1018895302693
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DOI: https://doi.org/10.1023/A:1018895302693