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Universality in quasinormal modes of a magnetized black hole

Marcos R. Ribeiro1,*, Eveling C. Ribeiro2,†, Kai Lin3,‡, and Elcio Abdalla4,5,§

  • *Contact author: marcosribeiro@usp.br
  • †Contact author: evelingmilena@usp.br
  • ‡Contact author: kailin@if.usp.br
  • §Contact author: eabdalla@usp.br
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Phys. Rev. D 113, 124029 – Published 10 June, 2026

DOI: https://doi.org/10.1103/2bc9-zb5b

Abstract

In this work, we investigate the linear stability of a magnetized Einstein-Maxwell solution describing a static, axially symmetric black hole immersed in a uniform magnetic field B. We probe the dynamics of an external charged scalar field through its quasinormal modes (QNMs), combining frequency- and time-domain analyses. We find a critical value of the field charge at which the QNM spectrum exhibits universal power-law scaling with an exponent of approximately 1/2. This critical behavior admits a simple interpretation in terms of a transition between a confined regime, where waves remain effectively trapped within a region of characteristic size ∼1/B, and a deconfined regime, where the field reaches distances ≫1/B and the damping rate becomes parametrically small. These results provide qualitative and quantitative insights that may inform more realistic scenarios involving highly magnetized compact objects.

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Phys. Rev. D 113, 124029– Published 10 June, 2026
  • Received 5 January 2026
  • Accepted 11 May 2026
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