Scalar fields around a rotating loop quantum gravity black hole: Waveform, quasi-normal modes and superradiance

Abstract

The rotating loop quantum gravity black hole is a newly proposed non-singular black hole, which eliminates spacetime singularities when a regularization parameter is introduced through loop quantum corrections. This parameter is expected to give rise to observable effects. In this paper, the dynamical behavior of a scalar field near a rotating loop quantum gravity black hole is investigated. Given a small initial perturbation, we obtain the waveform of massless scalar fields evolving over time. By analyzing the waveform, we find that the regularization parameter only affects the damping oscillation of waveform, but not the initial outburst and late-time tail stages. This behavior is characterized by quasi-normal modes. Under scalar field perturbations, the loop quantum black holes remain stable. Moreover, we calculate the quasi-normal modes of massive scalar fields by three numerical methods, which are the Prony, WKB, and shooting methods, respectively. Our results indicate that the real part of quasi-normal modes depends only on the regularization parameter, while the imaginary part does not only on the regularization parameter but also on the angular momentum. Finally, we study the amplification effect of rotating black holes, i.e., the superradiance. Our analyses indicate the existence of stronger superradiance around loop quantum gravity black holes compared to Kerr ones.

v1: 24 pages, 6 figures, 2 tables; v2: 26 pages, clarifications and references added, final version to appear in Classical and Quantum Gravity

References in corpus (29)

• Quasi-Normal Modes of Stars and Black Holes
• Quasinormal modes of black holes: from astrophysics to string theory
• Quasinormal behavior of the D-dimensional Schwarzshild black hole and higher order WKB approach
• Renormalization group improved black hole spacetimes
• Echoes of ECOs: gravitational-wave signatures of exotic compact objects and of quantum corrections at the horizon scale
• Higher order WKB formula for quasinormal modes and grey-body factors: recipes for quick and accurate calculations
• Generating rotating regular black hole solutions without complexification
• Loop quantum black hole
• Hierarchical mergers of stellar-mass black holes and their gravitational-wave signatures
• Loop quantization of the Schwarzschild black hole
• Gravitational signature of Schwarzschild black holes in dynamical Chern-Simons gravity
• Postmerger Gravitational-Wave Signatures of Phase Transitions in Binary Mergers
• Regular black holes: A short topic review
• Mining information from binary black hole mergers: a comparison of estimation methods for complex exponentials in noise
• Stability and quasinormal modes of the massive scalar field around Kerr black holes
• Testing loop quantum gravity from observational consequences of non-singular rotating black holes
• Tests of Loop Quantum Gravity from the Event Horizon Telescope Results of Sgr A${}^{\ast }$
• Black holes within Asymptotic Safety
• Massive Boson Superradiant Instability of Black Holes: Nonlinear Growth, Saturation, and Gravitational Radiation
• A new gravitational wave generation algorithm for particle perturbations of the Kerr spacetime
• (b,v)-type variables for black to white hole transitions in effective loop quantum gravity
• Blandford-Znajek mechanism versus Penrose process
• Mass and Horizon Dirac Observables in Effective Models of Quantum Black-to-White Hole Transition
• Object picture of scalar field perturbation on Kerr black hole in scalar-Einstein-Gauss-Bonnet theory
• Destroying the event horizon of a nonsingular rotating quantum-corrected black hole
• Regular Black Hole Interior Spacetime Supported by Three-Form Field
• Scalar Fields in Black Hole Spacetimes
• Scalar Perturbation Around Rotating Regular Black Hole: Superradiance Instability and Quasinormal Modes
• Signal of phase transition hidden in quasinormal modes of regular AdS black holes

Cited by in corpus (5)

• Quasinormal Modes of Dilaton Black Holes: Analytic approximations
• Quasi-Normal Modes of Loop Quantum Black Holes Formed from Gravitational Collapse
• Quantum Corrected Geodesic Motion in Polymer Kerr-like Spacetime
• Two types of quasinormal modes of Casadio-Fabbri-Mazzacurati brane-world black holes
• Comparison of Quasinormal Modes of Black Holes in $f(\mathbb{T})$ and $f(\mathbb{Q})$ Gravity