Null weak singularities in plane-symmetric spacetimes

TL;DR

This paper constructs and analyzes a new class of null weak singularities in plane-symmetric spacetimes, demonstrating their local stability and scalar-curvature nature, thus supporting a revised understanding of singularities inside spinning or charged black holes.

Contribution

It introduces a new class of null weak singularities in plane-symmetric solutions and proves their local stability using a rigorous non-perturbative method.

Findings

Null weak singularities are locally stable in plane-symmetric spacetimes.

Such singularities are generally scalar-curvature.

Supports a new picture of null weak singularities inside black holes.

Abstract

We construct a new class of plane-symmetric solutions possessing a curvature singularity which is null and weak, like the spacetime singularity at the Cauchy horizon of spinning (or charged) black holes. We then analyse the stability of this singularity using a rigorous non-perturbative method. We find that within the framework of (linearly-polarized) plane-symmetric spacetimes this type of null weak singularity is locally stable. Generically, the singularity is also scalar-curvature. These observations support the new picture of the null weak singularity inside spinning (or charged) black holes, which is so far established primarily on the perturbative approach.