The C-metric as a colliding plane wave space-time

TL;DR

The paper demonstrates that a region inside the C-metric black hole horizon can be interpreted as the interaction zone of two colliding plane waves with aligned polarization, generalizing a known solution.

Contribution

It shows how the C-metric can be viewed as a colliding plane wave space-time, extending previous solutions to include a Cauchy horizon instead of a singularity.

Findings

Part of the C-metric inside the horizon models colliding plane waves.

The solution generalizes the Ferrari-Ibanez solution.

The focussing singularity becomes a Cauchy horizon.

Abstract

It is explicitly shown that part of the C-metric space-time inside the black hole horizon may be interpreted as the interaction region of two colliding plane waves with aligned linear polarization, provided the rotational coordinate is replaced by a linear one. This is a one-parameter generalization of the degenerate Ferrari-Ibanez solution in which the focussing singularity is a Cauchy horizon rather than a curvature singularity.