Black hole interiors in holographic topological semimetals

TL;DR

This paper investigates the internal structure of black holes in holographic models of topological semimetals, revealing Kasner-type singularities and phase-dependent behaviors that reflect the topological properties.

Contribution

It provides the first detailed analysis of black hole interiors in holographic topological semimetals, highlighting the Kasner singularity structure and phase-specific interior dynamics.

Findings

Black hole singularities are of Kasner form.

In the topologically nontrivial phase, Kasner exponents are nearly constant.

Distinct behaviors are observed inside the horizon for each model.

Abstract

We study the black hole interiors in holographic Weyl semimetals and holographic nodal line semimetals. We find that the black hole singularities are of Kasner form. In the topologically nontrivial phase at low temperature, both the Kasner exponents of the metric fields and the proper time from the horizon to the singularity are almost constant, likely reflecting the topological nature of the topological semimetals. We also find some specific behaviors inside the horizon in each holographic semimetal model.