Hostname: page-component-586b7cd67f-g8jcs Total loading time: 0 Render date: 2024-11-26T07:29:23.978Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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