Charged massless fermion quasinormal modes in a noncommutatively deformed Reissner-Nordström black hole show a linear, azimuthal-quantum-number-dependent splitting of the complex mode frequencies.
Fermionic quasinormal modes for two-dimensional Ho\v{r}ava-Lifshitz black holes
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To obtain fermionic quasinormal modes, the Dirac equation for two types of black holes is investigated. For the first type of black hole, the quasinormal modes have continuous spectrum with negative imaginary part that provides the stability of black hole geometry. For the second type of the black hole, the quasinormal modes have discrete spectrum and are completely imaginary. This type of the black hole appears to be stable for arbitrary masses of fermion field perturbations.
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Fermion quasinormal modes on modified RN background
Charged massless fermion quasinormal modes in a noncommutatively deformed Reissner-Nordström black hole show a linear, azimuthal-quantum-number-dependent splitting of the complex mode frequencies.