Abstract
An example of a real analytic local extension of Minkowski space-time is given in this note. This local extension is not across points of theb-boundary since Minkowski space-time has an emptyb-boundary. Furthermore, this local extension is not across points of the causal boundary. The example indicates that the concept of local inextendibility may be less useful than originally envisioned.
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Ellis, G.F.R., Schmidt, B.G.: Gen. Rel. Grav.8, 915 (1977)
Hawking, S.W., Ellis, G.F.R.: The large scale structure of space-time. Cambridge: Cambridge University Press 1973
Geroch, R., Kronheimer, E.H., Penrose, R.: Proc. R. Soc. Lond. Sect. A327, 545 (1972)
Schmidt, B.G.: Gen. Rel. Grav.1, 269 (1971)
Clarke, C.J.S.: Commun. Math. Phys.32, 205 (1973)
Beem, J.K., Ehrlich, P.E.: The Lorentzian distance function and global Lorentzian geometry. New York, Basel: Marcel Dekker, to appear
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Communicated by R. Geroch
Partially supported by a grant from the Research Council of the Graduate School of the University of Missouri-Columbia
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Beem, J.K. Minkowski space-time is locally extendible. Commun.Math. Phys. 72, 273–275 (1980). https://doi.org/10.1007/BF01197551
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DOI: https://doi.org/10.1007/BF01197551