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On the instability of a class of generalized strong curvature singularities1

Published online by Cambridge University Press:  24 October 2008

Witold Kondracki ,
Andrzej Królak  and
Wiesław Rudnicki
Witold Kondracki
Affiliation:
Institute of Mathematics, Polish Academy of Sciences, Sniadeckich 8, 00-950 Warsaw, Poland
Andrzej Królak
Affiliation:
Institute of Mathematics, Polish Academy of Sciences, Sniadeckich 8, 00-950 Warsaw, Poland
Wiesław Rudnicki
Affiliation:
Institute of Physics, Pedagogical University, Rejtana 16A, 35-310 Rzeszów, Poland
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Extract

Cosmic censorship hypothesis [1] is a major unsolved problem in classical general relativity. According to this hypothesis singularities occurring in generic space-times should not be naked. This means that there should not be singularities to the future of a regular initial surface that are visible to observers at infinity A mathematically precise statement of the hypothesis is that a space-time should be future asymptotically predictable from a partial Cauchy surface ([2] p. 310).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 114 , Issue 2 , September 1993 , pp. 379 - 382
Copyright
Copyright © Cambridge Philosophical Society 1993

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References

REFERENCES

[1]Penrose, R.. Gravitational collapse: the role of general relativity. Riv. Nuovo Cimento 1 (1969), 1–87.Google Scholar
[2]Hawking, S. W. and Ellis, F. F. R.. The large scale structure of space-time (Cambridge University Press, 1973).CrossRefGoogle Scholar
[3]Penrose, R.. In: Theoretical Principles in Astrophysics and Relativity (eds. Lebovitz, N. R., Reid, W. H. and Vandervoort, P. O.), (University of Chicago Press, 1978).Google Scholar
[4]Rudnicki, W.. The existence of singularities and the cosmic censorship hypothesis in general relativity (in Polish), Ph.D. Thesis, Warsaw University, 1991.Google Scholar
[5]Rudnicki, W.. Generalized strong curvature singularities, their classification and cosmic censorship. Preprint, 1993.Google Scholar