Perturbing microscopic black holes inspired by noncommutativity

Abstract

We probe into the instabilities of microscopic quantum black holes. For this purpose, we study the quasinormal modes (QNMs) for a massless scalar perturbation of the noncommutative geometry inspired Schwarzschild black hole. By means of a sixth order Wentzel-Kramers-Brillouin (WKB) approximation we show that the widely used WKB method does not converge in the critical cases where instabilities show up at the third order. By employing the inverted potential method, we demonstrate that the instabilities are an artifact of the WKB method. Finally, we discuss the usefulness of the asymptotic iteration method to find the QNMs.

arXiv comment14 pages, 6 figures, reference added

References in corpus (34)

• Noncommutative geometry inspired Schwarzschild black hole
• The Generalized Uncertainty Principle and Black Hole Remnants
• Quasinormal behavior of the D-dimensional Schwarzshild black hole and higher order WKB approach
• Noncommutative Black Holes, The Final Appeal To Quantum Gravity: A Review
• Late-Time Behavior of Stellar Collapse and Explosions: I. Linearized Perturbations
• Asymptotic iteration method for eigenvalue problems
• On Gravity and the Uncertainty Principle
• The black hole bomb and superradiant instabilities
• Noncommutative geometry inspired charged black holes
• The black hole final state
• Non-commutative geometry inspired higher-dimensional charged, black holes
• Charged rotating noncommutative black holes
• Evolving test-fields in a black-hole geometry
• Gravity in Non-Commutative Geometry
• Black Holes and Massive Remnants
• Perturbation theory in a framework of iteration methods
• Noncommutative geometry inspired dirty black holes
• "Kerrr" black hole: the Lord of the String
• Scattering of massless scalar waves by Reissner-Nordström black holes
• Black hole quasinormal modes using the asymptotic iteration method
• Black Hole Remnants at the LHC
• The black hole final state for the Dirac fields In Schwarzschild spacetime
• A non commutative model for a mini black hole
• Fuzziness at the horizon
• Maximal extension of the Schwarzschild spacetime inspired by noncommutative geometry
• Comparing two approaches to Hawking radiation of Schwarzschild-de Sitter black holes
• Asymptotic Quasinormal Modes of d-Dimensional Schwarzschild Black Hole with Gauss-Bonnet Correction
• Instability of the Noncommutative Geometry Inspired Black Hole
• Asymptotic quasinormal modes of a noncommutative geometry inspired Schwarzschild black hole
• Singularity avoidance and time in quantum gravity
• Some exact quasi-normal frequencies of a massless scalar field in the Schwarzschild space-time
• Dangerous implications of a minimum length in quantum gravity
• On the existence of certain axisymmetric interior metrics
• Reply to "Comment on `Some exact quasinormal frequencies of a massless scalar field in Schwarzschild spacetime' ''

Cited by in corpus (12)

• The shadows and observational appearance of a noncommutative black hole surrounded by various profiles of accretions
• Mutual Influence of Photon Sphere and Non-Commutative Parameter in Various Non-Commutative Black Holes: Part I- Towards evidence for WGC
• Fuzzy dark matter black holes and droplets
• Scalar field quasinormal modes of noncommutative high dimensional Schwarzschild-Tangherlini black hole spacetime with smeared matter sources
• Quasinormal Modes in Noncommutative Schwarzschild Black Holes: A Spectral Analysis
• A Unified Spectral Approach for Quasinormal Modes of Lee-Wick Black Holes
• Charged Fuzzy Dark Matter Black Holes
• Quasinormal modes of scalar field coupled to Einstein's tensor in the non-commutative geometry inspired black hole
• Spectral Analysis of Quasinormal Modes of Planck Stars
• Quasinormal modes of noncommutative geometry-inspired dirty black holes
• Quasinormal modes of Hayward black holes from Schwarzschild to extremality: a comparative spectral analysis
• Quasinormal modes of Bonanno-Reuter black holes via the Spectral Method