Abstract
Two definitions of singularities are proposed which include breakdown of continuity and of causality as well as incompleteness. Some hypotheses about the causal relation between singularities in gravitational collapse and the outside region are discussed.
Extended version of a lecture given at the conference on ‘Differential Geometrical Methods in Mathematical Physics’ (Bonn; 1.–4. July 1975) based on an unpublished manuscript by H. Müller zum Hagen, H.J.Seifert, P. Yodzis: ‘When is a Singularity Innocuous?’ (Hamburg 1974) Work partly supported by the Deutsche Forschungsgemeinschaft.
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Seifert, HJ. (1977). The causal structure of singularities. In: Bleuler, K., Reetz, A. (eds) Differential Geometrical Methods in Mathematical Physics. Lecture Notes in Mathematics, vol 570. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087802
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DOI: https://doi.org/10.1007/BFb0087802
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