A generalization of the singularity theorem of Hawking & Penrose to space-times with causality violations-Reference-Cited by-同舟云学术

A generalization of the singularity theorem of Hawking & Penrose to space-times with causality violations

Published:1990-12-08 Issue:1883 Volume:431 Page:451-464
ISSN:0962-8444
Container-title:Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences
language:en
Short-container-title:Proc. R. Soc. Lond. A

Author:

Abstract

I prove a generalization of the singularity theorem of Hawking & Penrose. The generalization is (as far as I am aware) the only one that preserves the original idea of this theorem. By quoting an example of Newman I show that the generalization is unlikely to be improved.

Publisher

The Royal Society

Subject

General Medicine

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.1990.0143

Reference11 articles.

1. Beem J. K. & Ehrlich P. E. 1981 Global Lorentzian geometry. New York and Basel: Dekker.

2. Dieudonne J. 1960 Foundations of modern analysis. New York and London: Academic Press.

3. The singularities of gravitational collapse and cosmology

4. Hawking S. W. & Ellis G. F. R. 1973 The large scale structure of space-time. Cambridge University Press.

5. The structure of chronology violating sets with compact closure

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