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The stability of Killing–Cauchy horizons in colliding plane wave space-times

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Abstract

It is confirmed rigorously that the Killing–Cauchy horizons, which sometimes occur in space-times representing the collision and subsequent interaction of plane gravitational waves in a Minkowski background, are unstable with respect to bounded perturbations of the initial waves, at least for the case in which the initial waves have constant aligned polarizations.

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References

  1. Griffiths, J.B.: Colliding Plane Waves in General Relativity. Oxford University Press (1991). (Available at http://www-staff.lboro.ac.uk/majbg)

  2. Stephani, H., Kramer, D., MacCallum, M., Hoenselaers, C., Herlt, E.: Exact Solutions of Einstein’s Field Equations, 2nd edition. Cambridge University Press (2003)

  3. Yurtsever, U.: Phys. Rev. D. 36, 1662–1672 (1987)

    Article  CAS  Google Scholar 

  4. Hauser, I., Ernst, F.J.: J. Math. Phys. 30, 872–887 (1989)

    Article  Google Scholar 

  5. Hauser, I., Ernst, F.J.: J. Math. Phys. 30, 2322–2336 (1989); 31, 871–881 (1990); 32, 198–209 (1990)

  6. Alekseev, G.A., Griffiths, J.B.: Phys. Rev. Lett. 87, 221101 (2001)

    Article  CAS  PubMed  Google Scholar 

  7. Griffiths, J.B., Santano-Roco, M.: Class. Quantum Grav. 19, 4273–4286 (2002)

    Article  Google Scholar 

  8. Alekseev, G.A., Griffiths, J.B.: Class. Quantum Grav. 21, 5623–5654 (2004)

    Article  MathSciNet  Google Scholar 

  9. Yurtsever, U.: Phys. Rev. D 38, 1706–1730 (1988)

    Article  CAS  Google Scholar 

  10. Ferrari, V., Ibáñez, J.: Gen. Rel. Grav.19, 405–425 (1987)

    Article  Google Scholar 

  11. Khan, K.A., Penrose, R.: Nature 229, 185 (1971)

    Google Scholar 

  12. Ferrari, V., Ibáñez, J.: Proc. Roy. Soc. A 417, 417–431 (1988)

    CAS  Google Scholar 

  13. Feinstein, A., Ibáñez, J.: Phys. Rev. D 39, 470–473 (1989)

    Article  CAS  Google Scholar 

  14. Yurtsever, U.: Phys. Rev. D 40, 329–359 (1989)

    Article  CAS  Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Mathematical Sciences, Loughborough University, Loughborough, Leics, LE11 3TU, UK

    J. B. Griffiths

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  1. J. B. Griffiths
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Correspondence to J. B. Griffiths.

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Griffiths, J.B. The stability of Killing–Cauchy horizons in colliding plane wave space-times. Gen Relativ Gravit 37, 1119–1128 (2005). https://doi.org/10.1007/s10714-005-0094-z

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  • DOI: https://doi.org/10.1007/s10714-005-0094-z

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