Colliding axisymmetric pp-waves

TL;DR

This paper presents an exact, conformally flat solution for the collision of axisymmetric pp-waves with zero mass, including examples involving ultrarelativistic black holes and beam-like waves, revealing boundary curvature singularities.

Contribution

It provides a new exact solution describing axisymmetric pp-wave collisions with detailed boundary and singularity analysis.

Findings

Solution describes impulsive, axisymmetric pp-wave collisions with M=0.

Coordinate singularities become point curvature singularities at interaction boundaries.

Includes concrete examples with ultrarelativistic black holes and beam-like waves.

Abstract

An exact solution is found describing the collision of axisymmetric pp-waves with M=0. They are impulsive in character and their coordinate singularities become point curvature singularities at the boundaries of the interaction region. The solution is conformally flat. Concrete examples are given, involving an ultrarelativistic black hole against a burst of pure radiation or two colliding beam- like waves.