Quasinormal modes of a holonomy corrected Schwarzschild black hole

Abstract

We analyze the quasinormal modes (QNMs) of a recently obtained solution of a Schwarzschild black hole (BH) with corrections motivated by Loop Quantum Gravity (LQG). This spacetime is regular everywhere and presents the global structure of a wormhole, with a minimal surface whose radius depends on a LQG parameter. We focus on the investigation of massless scalar field perturbations over the spacetime. We compute the QNMs with the WKB approximation, as well as the continued fraction method. The QNM frequency orbits, for $l=0$ and $n>0$, where $l$ and $n$ are the multipole and overtone numbers, respectively, are self-intersecting, spiraling curves in the complex plane. These orbits accumulate to a fixed complex value corresponding to the QNMs of the extremal case. We obtain that, for small values of the LQG parameter, the overall damping decreases as we increase the LQG parameter. Moreover the spectrum of the quantum corrected black hole exhibits an oscillatory pattern, which might imply in the existence of QNMs with vanishing real part. This pattern suggests that the limit $n\to \infty$ for the real part of the QNMs is not well-defined, what differs from Schwarzschild's case. We also analyze the time-domain profiles for the scalar perturbations, showing that the LQG correction does not alter the Schwarzschild power-law tail. We compute the fundamental mode from the time profile by means of the Prony method, obtaining excellent agreement with the two previously mentioned methods.

arXiv comment12 pages, 7 figures

References in corpus (31)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• The Confrontation between General Relativity and Experiment
• GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
• Quasinormal modes of black holes and black branes
• Quasi-Normal Modes of Stars and Black Holes
• First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
• Evolution of Binary Black Hole Spacetimes
• Accurate Evolutions of Orbiting Black-Hole Binaries Without Excision
• Gravitational wave extraction from an inspiraling configuration of merging black holes
• Quantum Nature of the Big Bang: Improved dynamics
• Quantum Geometry and Black Hole Entropy
• On gravitational-wave spectroscopy of massive black holes with the space interferometer LISA
• Absence of Singularity in Loop Quantum Cosmology
• Real Ashtekar Variables for Lorentzian Signature Space-times
• Detection, Measurement and Gravitational Radiation
• Loop Quantum Cosmology
• Gravitational Energy in Spherical Symmetry
• Black-bounce to traversable wormhole
• Loop quantization of the Schwarzschild black hole
• Mining information from binary black hole mergers: a comparison of estimation methods for complex exponentials in noise
• Effective Quantum Extended Spacetime of Polymer Schwarzschild Black Hole
• Echoes in brane worlds: ringing at a black hole--wormhole transition
• Asymptotic quasinormal modes of Reissner-Nordström and Kerr black holes
• An effective model for the quantum Schwarzschild black hole
• Polymer Schwarzschild black hole: An effective metric
• Ringing of the regular black-hole/wormhole transition
• On black bounces, wormholes and partly phantom scalar fields
• Echoes of novel black-bounce spacetimes
• Spherically symmetric Einstein-Maxwell theory and loop quantum gravity corrections
• Classical polymerization of the Schwarzschild metric

Cited by in corpus (24)

• Long-lived quasinormal modes and overtones' behavior of the holonomy corrected black holes
• Holonomy corrected Schwarzschild black hole lensing
• Quasinormal modes and gray-body factors of regular black holes in asymptotically safe gravity
• Perturbations and Quasinormal Modes of the Dirac Field in Effective Quantum Gravity
• Gravitational lens effect of a holonomy corrected Schwarzschild black hole
• Long-lived Quasinormal modes around regular black holes and wormholes in Covariant Effective Quantum Gravity
• Regular Black Holes from Proper-Time flow in Quantum Gravity and their Quasinormal modes, Shadow and Hawking radiation
• Topologically Charged Holonomy corrected Schwarzschild black hole lensing
• Quantum gravitational corrections to the Schwarzschild spacetime and quasinormal frequencies
• Constraints from Solar System tests on a covariant loop quantum black hole
• Remnant loop quantum black holes
• Light deflection and gravitational lensing effects inspired by loop quantum gravity
• Quasinormal modes of a nonsingular spherically symmetric black hole effective model with holonomy corrections
• Quasinormal modes of loop quantum black holes near the Planck scale
• An Effective Model for the Quantum Schwarzschild Black Hole: Weak Deflection Angle, Quasinormal Modes and Bounding of Greybody Factor
• Quasinormal modes of a charged loop quantum black hole
• Telling tails and quasi-resonances in the vicinity of Dymnikova regular black hole
• Quasibound state reminiscent in de-Sitter black holes: Quasinormal modes and the decay of massive fields
• Scalar Quasi-Normal Modes of a Loop Quantum Black Hole
• Gravitational quasinormal modes of Dymnikova black holes
• Tidal Stretching and Compression in Black Bounce Backgrounds
• Parameterized quasinormal frequencies and Hawking radiation for axial gravitational perturbations of a holonomy-corrected black hole
• Echoes and quasinormal modes of asymmetric black bounces
• LQG inspired spacetimes as solutions of the Einstein equations