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

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.

25 pages, 2 figures. V2: contains additional minor clarifications, along with corrections to Fig. 2, and Eqs. (45), (46) and (53), which were overlooked in the published version. Selected for a CQG+ insight article

References in corpus (4)

• A Non-Fermi Liquid from a Charged Black Hole; A Critical Fermi Ball
• A Primer for Black Hole Quantum Physics
• Stochastic and resolvable gravitational waves from ultralight bosons
• Quasinormal modes of massive fermions in Kerr spacetime: Long-lived modes and the fine structure

Cited by in corpus (2)

• The massive Dirac equation in the Kerr-Newman-de Sitter and Kerr-Newman black hole spacetimes
• Fermionic and Bosonic Greybody Factors as well as Quasinormal Modes for Charged Taub NUT Black Holes