Causality violation and singularities.

Details Causality violation and singularities. Causality violation and singularities.

Sep 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990cvs..book.....k&link_type=abstract

Causality violation and singularities., by Kriele, M.. Technische Univ. Berlin (Germany, F.R.). Fachbereich 3 - Mathematik, 7 S

Mathematics

Scientific paper

The author explores the relation between causality violation and the existence of singularities in general relativity. The main results are: I. A generalization of the singularity theorem of Hawking and Penrose (1970) to a wide class of spacetimes with causality violations. This generalization is the only one that preserves the original idea of the theorem and does not demand further conditions on the energy momentum tensor. By quoting an example of Newman (1989) the author shows that the generalization is unlikely to be extended. II. A similar generalization for a theorem of Hawking (1967) asserting the occurrence of a singularity in the past of a trapped point. III. Every compact component of the boundary of the chronology violating set contains almost closed incomplete null geodesics. Moreover, it is not a C2-submanifold. As a consequence chronology violation that does not extend to infinity causes singularities.

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