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Dirac Quasi-Normal Modes in Schwarzschild Black Hole Spacetimes

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arxiv gr-qc/0303078 v1 pith:RY4SVU4F submitted 2003-03-20 gr-qc hep-th

classification gr-qchep-th
keywords frequenciesincreaseblackcasedampingsdiracfieldshole
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abstract

We evaluate both the massless and the massive Dirac quasi-normal mode frequencies in the Schwarzschild black hole spacetime using the WKB approximation. For the massless case, we find that, similar to those for the integral spin fields, the real parts of the frequencies increase with the angular momentum number $\kappa$, while the imaginary parts or the dampings increase with the mode number $n$ for fixed $\kappa$. For the massive case, the oscillation frequencies increase with the mass $m$ of the field, while the dampings decrease. Fields with higher masses will therefore decay more slowly.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Quasibound states of a charged Dirac field around regular black holes

    gr-qc 2026-06 unverdicted novelty 5.0 of 10

    Charged massive Dirac quasibound modes on ABG black holes stay damped; ABG and RN share hydrogenic real frequencies, but ABG’s inner barrier can make some modes much longer-lived.

  2. Revisiting the fermionic quasi-bound states around Schwarzschild black holes with improved analytic spectrum

    gr-qc 2025-01 conditional novelty 5.0 of 10

    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.

  3. Scattering and Hawking Radiation from Einstein--Euler--Heisenberg--de Sitter Black Holes

    gr-qc 2026-06 unverdicted novelty 4.0 of 10

    Numerical scattering calculations for neutral scalar and Dirac fields on Einstein-Euler-Heisenberg-de Sitter black holes show that Euler-Heisenberg coupling raises barriers and shifts transmission frequencies upward w...

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