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

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.

8 pages. To appear in Gen. Rel. Grav

References in corpus (3)

• Solving the characteristic initial value problem for colliding plane gravitational and electromagnetic waves
• Collision of plane gravitational and electromagnetic waves in a Minkowski background: solution of the characteristic initial value problem
• The characteristic initial value problem for colliding plane waves: The linear case

Cited by in corpus (3)

• Gauge invariant perturbations of self-similar Lemaître-Tolman-Bondi spacetime: even parity modes with $l\ge 2$
• A continuous Riemann-Hilbert problem for colliding plane gravitational waves
• Colliding plane wave solution in F(R)=R^{N} gravity