<p>We study the quasinormal spectrum of massless scalar fields propagating on a family of regular BTZ black holes arising from an infinite tower of dimensionally regularized Lovelock corrections. These geometries are asymptotically AdS, reduce to the standard BTZ solution in the limit <i>ℓ</i> → 0, and resolve the central singularity by introducing a smooth core controlled by the new length scale <i>ℓ</i>. The scalar quasinormal modes are computed using both Leaver’s continued-fraction method and the Horowitz-Hubeny power-series method; the two approaches agree to high accuracy across the parameter space. We find that the regularization preserves linear stability (<i>ω</i><sub><i>I</i></sub> <i>&lt;</i> 0) while qualitatively reshaping the spectrum: as <i>ℓ</i> increases, BTZ-like complex branches collide with the imaginary axis and undergo a hierarchy of bifurcations into multiple purely imaginary branches, leading to mode switching and a nontrivial reordering of overtones as functions of <i>ℓ</i> and the harmonic index <i>m</i>. Our results place regular BTZ black holes within the emerging family of bifurcating quasinormal spectra known from nearly extremal and asymptotically AdS black holes, and highlight these (2 + 1)-dimensional geometries as a controlled arena for exploring geometric mechanisms behind spectral branching and late-time ringdown in regular black hole spacetimes.</p>

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Spectral bifurcations in quasinormal modes of regular BTZ black holes

  • Kartheek Hegde,
  • Tajron Jurić,
  • A. Naveena Kumara

摘要

We study the quasinormal spectrum of massless scalar fields propagating on a family of regular BTZ black holes arising from an infinite tower of dimensionally regularized Lovelock corrections. These geometries are asymptotically AdS, reduce to the standard BTZ solution in the limit → 0, and resolve the central singularity by introducing a smooth core controlled by the new length scale . The scalar quasinormal modes are computed using both Leaver’s continued-fraction method and the Horowitz-Hubeny power-series method; the two approaches agree to high accuracy across the parameter space. We find that the regularization preserves linear stability (ωI < 0) while qualitatively reshaping the spectrum: as increases, BTZ-like complex branches collide with the imaginary axis and undergo a hierarchy of bifurcations into multiple purely imaginary branches, leading to mode switching and a nontrivial reordering of overtones as functions of and the harmonic index m. Our results place regular BTZ black holes within the emerging family of bifurcating quasinormal spectra known from nearly extremal and asymptotically AdS black holes, and highlight these (2 + 1)-dimensional geometries as a controlled arena for exploring geometric mechanisms behind spectral branching and late-time ringdown in regular black hole spacetimes.