Splitting of an Extremal Reissner-Nordstr\"om Throat via Quantum Tunneling

TL;DR

This paper models the quantum tunneling process that causes the extremal Reissner-Nordström black hole's throat to split into multiple horizons, providing a semi-classical instanton description of this phenomenon.

Contribution

It introduces an instanton solution describing the quantum tunneling process leading to the splitting of the black hole's throat into multiple horizons.

Findings

Demonstrates a tunneling mechanism for horizon splitting

Provides a semi-classical instanton framework

Suggests new dynamics for extremal black holes

Abstract

The interior near the horizon of an extremal Reissner-Nordstr\"om black hole is taken as an initial state for quantum mechanical tunneling. An instanton is presented that connects this state with a final state describing the presence of several horizons. This is interpreted as a WKB description of fluctuations due to the throat splitting into several components.