Fermionic quasibound-state energies around Schwarzschild black holes are derived analytically with a first-order matching scheme and a higher-order angular correction that improves agreement with numerics.
Quasi-normal modes and fermionic vacuum decay around a Kerr black hole
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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.
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Revisiting the fermionic quasi-bound states around Schwarzschild black holes with improved analytic spectrum
Fermionic quasibound-state energies around Schwarzschild black holes are derived analytically with a first-order matching scheme and a higher-order angular correction that improves agreement with numerics.