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

Understand

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.