Mass inflation and chaotic behaviour inside hairy black holes

TL;DR

This paper investigates the complex interior dynamics of static, spherically symmetric black holes in Einstein-Yang-Mills-Higgs theory, revealing different mass inflation behaviors depending on the presence of a Higgs field.

Contribution

It provides a detailed analysis of mass inflation phenomena inside hairy black holes, highlighting differences caused by the Higgs field and identifying non-generic singularity structures.

Findings

Without Higgs field, cyclic mass inflation with violent explosions occurs.

With Higgs field, no cyclic behavior is observed.

Existence of non-generic solutions with Schwarzschild or Reissner-Nordström singularities.

Abstract

We analyze the interior geometry of static, spherically symmetric black holes of the Einstein-Yang-Mills-Higgs theory. Generically the solutions exhibit a behaviour that may be described as ``mass inflation'', although with a remarkable difference between the cases with and without a Higgs field. Without Higgs field the YM field induces a kind of cyclic behaviour leading to repeated cycles of mass inflation - taking the form of violent explosions - interrupted by quiescent periods and subsequent approaches to an almost Cauchy horizon. With the Higgs field no such cycles occur. In addition there are non-generic families with a Schwarzschild resp. Reissner-Nordstr{\o}m type singularity at r=0.