Plane-Symmetric Vacuum Solutions with Null Singularities for Inhomogeneous Models and Colliding Gravitational Waves

TL;DR

This paper presents new exact plane-symmetric vacuum solutions with diverse singularities, including null singularities, and explores their implications for inhomogeneous cosmology and gravitational wave collisions.

Contribution

It introduces novel vacuum solutions with various singularities, including null singularities, and applies them to inhomogeneous models and colliding gravitational waves.

Findings

Existence of true null singularities clarified by Ori

Solutions reveal diverse cosmological singularities

Implications for black hole Cauchy horizon stability

Abstract

New exact vacuum solutions with various singularities in the plane-symmetric spacetime are shown, and they are applied to the analysis of inhomogeneous cosmological models and colliding gravitational waves. One of the singularities can be true null singularities, whose existence was locally clarified by Ori. These solutions may be interesting from the viewpoint of the variety of cosmological singularities and the instability problem of Cauchy horizons inside black holes.