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Quasinormal modes for non-minimally coupled scalar fields in regular black hole spacetimes: Grey-body factors, area spectrum and shadow radius

2019/12/31 by Davood Mahdavian Yekta, Majid Karimabadi, S. A. Alavi
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black brane #Black hole (networking) #Classical mechanics #Cosmology and Gravitation Theories #Entropy (arrow of time) #Extremal black hole #General relativity #Geometry #Gravitation #Gravitational collapse #Mathematical physics #Mathematics #Physics #Quantization (signal processing) #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Quasinormal mode #RADIUS #Scalar (mathematics) #Scalar field #Schwarzschild radius #Theoretical physics #WKB approximation #White hole #gr-qc #hep-th

paper · pdf · doi:10.1016/j.aop.2021.168603

published as Annals of Physics 434 (2021) 168603 · 25 pages, 19 figures and 5 tables

openalex publication_date 2021/09/11 · arxiv created 2021/10/22 · arxiv updated 2021/10/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Black hole perturbation theory is a useful approach to study interactions between black holes and fundamental fields. A particular class of black hole solutions arising out of modification of Einstein's general theory of relativity are regular black holes (RBHs) which can be constructed using a nonlinear electrodynamic Lagrangian. Because of their importance, we are interested in studying the behavior of three kinds of such RBHs under perturbations generated by an external field. Indeed, we investigate the quasinormal modes (QNMs) of a massive scalar field propagating near the RBHs which is non-minimally coupled to the Ricci scalar tensor of background geometry. We will attempt to find the low-lying quasinormal frequencies of the perturbations by using WKB approximation. We shall also study the relationship between the QNMs and some characteristic properties of black holes such as grey-body factors, area quantization, and shadow radius.

Citations