Cauchy horizon singularity without mass inflation

TL;DR

This paper investigates the nature of singularities along the Cauchy horizon in charged black holes, showing that curvature can diverge even when the mass function remains bounded, challenging previous assumptions about mass inflation.

Contribution

It demonstrates that curvature singularities can occur without mass inflation in perturbed Reissner-Nordström-de Sitter black holes, providing new insights into black hole interior structure.

Findings

Curvature scalar diverges without mass inflation.

Bounded mass function can coexist with singularity.

Challenges previous understanding of Cauchy horizon stability.

Abstract

A perturbed Reissner-Nordstr\"om-de Sitter solution is used to emphasize the nature of the singularity along the Cauchy horizon of a charged spherically symmetric black hole. For these solutions, conditions may prevail under which the mass function is bounded and yet the curvature scalar $R_{\alpha\beta\gamma\delta} R^{\alpha\beta\gamma\delta}$ diverges.