2021/05/01 by Mengjie Wang, Zhou Chen, Qiyuan Pan +1 · 14 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Boundary value problem #Classical mechanics #General relativity #Gravitation #Magnetic monopole #Mathematical physics #Maxwell's equations #Physics #Pulsars and Gravitational Waves Research #Quantum electrodynamics #Quantum mechanics #Quasinormal mode #Schwarzschild metric #Schwarzschild radius #gr-qc #hep-th
paper · pdf · doi:10.1140/epjc/s10052-021-09149-x
published in The European Physical Journal C 81(5) (Springer Science+Business Media) · 10 pages, 5 figures, to appear in EPJC
openalex publication_date 2021/05/01 · arxiv created 2021/05/23 · arxiv updated 2021/06/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Abstract We generalize our previous studies on the Maxwell quasinormal modes around Schwarzschild-anti-de-Sitter black holes with Robin type vanishing energy flux boundary conditions, by adding a global monopole on the background. We first formulate the Maxwell equations both in the Regge–Wheeler–Zerilli and in the Teukolsky formalisms and derive, based on the vanishing energy flux principle, two boundary conditions in each formalism. The Maxwell equations are then solved analytically in pure anti-de Sitter spacetimes with a global monopole, and two different normal modes are obtained due to the existence of the monopole parameter. In the small black hole and low frequency approximations, the Maxwell quasinormal modes are solved perturbatively on top of normal modes by using an asymptotic matching method, while beyond the aforementioned approximation, the Maxwell quasinormal modes are obtained numerically. We analyze the Maxwell quasinormal spectrum by varying the angular momentum quantum number ℓ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>ℓ</mml:mi></mml:math> , the overtone number N , and in particular, the monopole parameter 8π η 2 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mn>8</mml:mn><mml:mi>π</mml:mi><mml:msup><mml:mi>η</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:math> . We show explicitly, through calculating quasinormal frequencies with both boundary conditions, that the global monopole produces the repulsive force.