Singularities in colliding gravitational plane-wave spacetimes

Mathematics

Scientific paper

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Cosmology, Gravitational Waves, Singularity (Mathematics), Space-Time Functions, Wave Interaction, Curvature, Plane Waves, Relativistic Theory

Scientific paper

Singularities in colliding gravitational plane-wave space-times are studied. In addition to scalar curvature singularities, colliding delta-function gravitational plane-wave space-times and colliding sandwich plane-wave space-times are shown to possess quasi-regular singularities, while colliding thick gravitational plane-wave space-times are shown to possess nonscalar curvature singularities. It is argued that these singularities are unstable. Scalar wave perturbations of the impulsive-wave space-time support this result.

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