Quasi-normal modes and fermionic vacuum decay around a Kerr black hole

TL;DR

This paper investigates the instability of fermionic vacuum states around Kerr black holes, revealing that vacuum decay is characterized by specific quasi-normal fermion modes, with implications for black hole physics.

Contribution

It introduces a novel analysis linking fermionic vacuum decay in Kerr spacetimes to a subset of quasi-normal modes, providing new insights into black hole quantum processes.

Findings

Fermionic vacuum decay is associated with specific quasi-normal modes.

A co-rotating Fermi sea forms due to spontaneous vacuum decay.

The decay process parallels electrodynamic phenomena in supercritical fields.

Abstract

We analyze the instability of the non-rotating fermion vacuum in Kerr spacetimes. We describe how the co-rotating Fermi sea is formed as a result of a spontaneous vacuum decay. Most significantly, and drawing upon intuition gained from analogous electrodynamic processes in supercritical fields, we show that this decay process is encoded entirely in a subset of quasi-normal fermion modes.