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

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arxiv 2501.08881 v2 pith:TGCMNKRI submitted 2025-01-15 gr-qc

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

Guang-Shang Chen , Cheng-Bo Yang , Shou-Shan Bao , Yong Tang , Yue-Liang Wu This is my paper
classification gr-qc
keywords blackholesanalyticaldiracimprovednumericalschwarzschildspectrum
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Black holes have long served as a testing ground for probing theories of gravity and quantum mechanics. Notably, fundamental fields in the neighborhood of black holes exhibit rich phenomena that could yield astrophysical observable signatures. However, exploring these structures typically requires computationally intensive numerical calculations. In this work, the dynamics of a massive Dirac field outside a Schwarzschild black hole is revisited. We propose a novel matching scheme that enables the analytical solution of the coupled first-order Dirac equation, as opposed to the conventional second-order approach. This method yields a compact and unified analytical expression for the energy spectrum, which shows improved agreement with numerical results. The improvement is due to high-order correction of angular parameter that has been ignored previously.

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Cited by 3 Pith papers

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

  1. Quasi-bound states and late-time evolution of a massive fermion around a Reissner-Nordstr\"{o}m black hole

    gr-qc 2026-07 accept novelty 6.0

    Matrix matching yields improved quasi-bound spectra (fine structure + decay widths) for a massive Dirac field on RN, and branch-cut analysis plus simulations reveal an intermediate oscillatory power law followed by a ...

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

    gr-qc 2026-06 unverdicted novelty 5.0

    ABG regular black holes modify the lifetimes of charged Dirac quasibound states relative to RN but keep the modes damped without producing superradiant instability in the explored parameter range.

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

    gr-qc 2026-06 conditional novelty 4.5

    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.