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

J. B. Griffiths
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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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J. B. Griffiths. 2005-01-05. The stability of Killing-Cauchy horizons in colliding plane wave space-times. https://doi.org/10.1007/s10714-005-0094-z

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