Breaking of isospectrality of quasinormal modes in nonrotating loop quantum gravity black holes

Abstract

We study the quasinormal frequencies of three effective geometries of nonrotating regular black holes derived from loop quantum gravity. Concretely, we consider the Ashtekar-Olmedo-Singh and two Gambini-Olmedo-Pullin prescriptions. We compute the quasinormal frequencies of axial and polar perturbations adopting a WKB method. We show that they differ from those of classical general relativity and, more importantly, that isospectrality is broken. Nevertheless, these deviations are tiny, even for microscopic black holes, and they decay following an inverse power law of the size of the mass of the black holes. For the sake of completeness, we also analyze scalar and vector perturbations, reaching similar conclusions.

12 pages, 3 figures, typos corrected, matches published version

References in corpus (8)

• Higher order WKB formula for quasinormal modes and grey-body factors: recipes for quick and accurate calculations
• The physical interpretation of the spectrum of black hole quasinormal modes
• Black hole state counting in Loop Quantum Gravity: A number theoretical approach
• Brief review on black hole loop quantization
• Polar gravitational perturbations and quasinormal modes of a loop quantum gravity black hole
• Hamiltonian theory for the axial perturbations of a dynamical spherical background
• Quasinormal Modes of Lovelock Black Holes
• Black hole quasinormal modes and isospectrality in Deser-Woodard nonlocal gravity

Cited by in corpus (5)

• Loop quantum black hole
• Hamiltonian formulation and loop quantization of a recent extension of the Kruskal spacetime
• Long-lived quasinormal modes, grey-body factors and absorption cross-section of the black hole immersed in the Hernquist galactic halo
• Black Hole Evaporation in Loop Quantum Gravity
• Gravitational Spectra and Wave Propagation in Regular Black Holes Supported by a Dehnen Halo