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Charged scalar field perturbations in Ernst black holes

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arxiv 2211.02931 v1 pith:XA4APG7X submitted 2022-11-05 gr-qc hep-th

Ramón Bécar , P. A. González , Yerko Vásquez This is my paper · ORCID
classification gr-qchep-th
keywords fieldscalarcriticalmassangularbehaviournumberqnms
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abstract

We consider the propagation of a charged massive scalar field in the background of a four-dimensional Ernst black hole and study its stability analyzing the quasinormal modes (QNMs), which are calculated using the semi-analytical Wentzel-Kramers-Brillouin method and numerically using the continued fraction method. Mainly, we find that for a scalar field mass less than a critical mass, the decay rate of the QNMs decreases when the harmonic angular number $\ell$ increases; and for a scalar field mass greater than the critical mass the behaviour is inverted, i.e, the longest-lived modes are always the ones with the lowest angular number recovering the standard behaviour. Also, we find a critical value of the external magnetic field, as well as, a critical value of the scalar field charge that exhibit the same behaviour with respect to the angular harmonic numbers. In addition, we show that the spacetime allows stable quasibound states and we observe a splitting of the spectrum due to the Zeeman effect. Finally, we show that the unstable null geodesic in the equatorial plane is connected with the QNMs when the azimuthal quantum number satisfy $m= \pm \ell$ in the eikonal limit.

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Cited by 4 Pith papers

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

  1. Universality in quasinormal modes of a magnetized black hole

    gr-qc 2025-12 unverdicted novelty 6.0 of 10

    For charged scalar perturbations of an Ernst-Schwarzschild black hole, the quasinormal-mode frequency scales as |q - q_c|^{1/2} near a critical charge q_c, with a mode-independent exponent.

  2. Null orbits and shadows in the Ernst-Wild geometry: insights for black holes immersed in a magnetic field

    gr-qc 2025-05 conditional novelty 6.0 of 10

    For a magnetized Kerr-Newman (Ernst-Wild) black hole, this paper derives perturbative formulas for light ring radii, orbital frequencies, and Lyapunov exponents as functions of magnetic field and spin, and checks the ...

  3. Quasinormal spectra of higher dimensional regular black holes in theories with infinite curvature corrections

    gr-qc 2025-09 conditional novelty 5.0 of 10

    For six families of higher-dimensional regular black holes, positive higher-curvature coupling reduces quasinormal-mode oscillation frequencies and damping rates, a trend verified at low and eikonal multipoles.

  4. Massive scalar field perturbations of 4D de Sitter Einstein-Gauss-Bonnet black holes

    gr-qc 2025-05 conditional novelty 4.0 of 10

    Massive scalar perturbations of 4D Einstein-Gauss-Bonnet de Sitter black holes are stable and show three quasinormal mode branches, including a non-perturbative de Sitter branch that disappears in the Schwarzschild-de...

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