A stable class of spacetimes with naked singularities

Marcus Kriele

Banach Center Publications (1997)

  • Volume: 41, Issue: 1, page 169-178
  • ISSN: 0137-6934

Abstract

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We present a stable class of spacetimes which satisfy the conditions of the singularity theorem of Hawking & Penrose (1970), and which contain naked singularities. This offers counterexamples to a geometric version of the strong cosmic censorship hypothesis.

How to cite

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Marcus Kriele. "A stable class of spacetimes with naked singularities." Banach Center Publications 41.1 (1997): 169-178. <http://eudml.org/doc/252195>.

@article{MarcusKriele1997,
abstract = {We present a stable class of spacetimes which satisfy the conditions of the singularity theorem of Hawking & Penrose (1970), and which contain naked singularities. This offers counterexamples to a geometric version of the strong cosmic censorship hypothesis.},
author = {Marcus Kriele},
journal = {Banach Center Publications},
keywords = {counterexamples to strong cosmic censorship; naked singularity},
language = {eng},
number = {1},
pages = {169-178},
title = {A stable class of spacetimes with naked singularities},
url = {http://eudml.org/doc/252195},
volume = {41},
year = {1997},
}

TY - JOUR
AU - Marcus Kriele
TI - A stable class of spacetimes with naked singularities
JO - Banach Center Publications
PY - 1997
VL - 41
IS - 1
SP - 169
EP - 178
AB - We present a stable class of spacetimes which satisfy the conditions of the singularity theorem of Hawking & Penrose (1970), and which contain naked singularities. This offers counterexamples to a geometric version of the strong cosmic censorship hypothesis.
LA - eng
KW - counterexamples to strong cosmic censorship; naked singularity
UR - http://eudml.org/doc/252195
ER -

References

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  1. Beem, J. K. and Ehrlich (1981), Global Lorentzian geometry, Marcel Dekker, New York and Basel. Zbl0462.53001
  2. Christodoulou, D. and Klainerman, S. (1992), The Global Nonlinear Stability of Minkowski Space, Princeton University Press, Princeton. Zbl0827.53055
  3. Hawking, S. W. and Ellis, G. F. R. (1973), The large scale structure of space-time, Cambridge University Press, Cambridge. Zbl0265.53054
  4. Hawking, S. W. and Penrose, R. (1970), 'The singularities of gravitational collapse and cosmology', Proc. Roy. Soc. Lond. A 314, 529-548. Zbl0954.83012
  5. Kriele, M. (1996), 'Shell singularities of dust spacetimes', Class. Quantum Grav., to appear. Zbl0869.53069
  6. Kriele, M. and Lim, G. (1995), 'Physical properties of geometrical singularities', Class. Quantum Grav. 12, 3019-3035. Zbl0842.53069
  7. Królak, A. (1987), 'Towards the proof of the cosmic censorship hypothesis in cosmological space-times', J. Math. Phys. 28(1), 138-141. 
  8. Lerner, D. E. (1973), 'The space of Lorentz metrics', Commun. Math. Phys. 32, 19-38. Zbl0257.58003
  9. P. Musgrave, Pollney, D. and Lake, K. (1994), 'GRTensorII', The program and its documentation can be found at astro.queensu.ca in the directory /pub/grtensor. Queen's University, Kingston, Ontario, Canada. 
  10. Tipler, F. (1977), 'Black holes in closed universes', Nature 270, 500-501. 

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