scholarly journals A global definition of quasinormal modes for Kerr–AdS black holes

2018 ◽  
Vol 68 (3) ◽  
pp. 1125-1167 ◽  
Author(s):  
Oran Gannot
Keyword(s):  
Black Holes ◽  
Quasinormal Modes ◽  
Ads Black Holes ◽  
Definition Of

scholarly journals Deforming charged black holes with dipolar differential rotation boundary

2020 ◽  
Vol 80 (7) ◽  
Author(s):  
Tong-Tong Hu ◽  
Shuo Sun ◽  
Hong-Bo Li ◽  
Yong-Qiang Wang
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Chemical Potential ◽  
Dimensional Space ◽  
Quasinormal Modes ◽  
Fixed Temperature ◽  
First Case ◽  
Ads Black Holes ◽  
Horizon Geometry ◽  
Black Hole Solutions

Abstract Motivated by the recent studies of the novel asymptotically global $$\hbox {AdS}_4$$AdS4 black hole with deformed horizon, we consider the action of Einstein–Maxwell gravity in AdS spacetime and construct the charged deforming AdS black holes with differential boundary. In contrast to deforming black hole without charge, there exists at least one value of horizon for an arbitrary temperature. The extremum of temperature is determined by charge q and divides the range of temperature into several parts. Moreover, we use an isometric embedding in the three-dimensional space to investigate the horizon geometry. The entropy and quasinormal modes of deforming charged AdS black hole are also studied in this paper. Due to the existence of charge q, the phase diagram of entropy is more complicated. We consider two cases of solutions: (1) fixing the chemical potential $$\mu $$μ; (2) changing the value of $$\mu $$μ according to the values of horizon radius and charge. In the first case, it is interesting to find there exist two families of black hole solutions with different horizon radii for a fixed temperature, but these two black holes have same horizon geometry and entropy. The second case ensures that deforming charged AdS black hole solutions can reduce to standard RN–AdS black holes.

scholarly journals Phase Structure and Quasinormal Modes of AdS Black Holes in Rastall Theory

2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
De-Cheng Zou ◽  
Ming Zhang ◽  
Ruihong Yue
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Quasinormal Modes ◽  
Massless Scalar ◽  
Extended Phase Space ◽  
De Sitter ◽  
Extended Phase ◽  
Large Black Hole ◽  
Ads Black Holes ◽  
Scalar Perturbations

We discuss the P−V criticality and phase transition in the extended phase space of anti-de Sitter(AdS) black holes in four-dimensional Rastall theory and recover the Van der Waals (VdW) analogy of small/large black hole (SBH/LBH) phase transition when the parameters ωs and ψ satisfy some certain conditions. Later, we further explore the quasinormal modes (QNMs) of massless scalar perturbations to probe the SBH/LBH phase transition. It is found that it can be detected near the critical point, where the slopes of the QNM frequencies change drastically in small and large black holes.

scholarly journals Quasinormal modes of large AdS black holes

2003 ◽  
Vol 563 (1-2) ◽  
pp. 102-106 ◽  
Author(s):  
Suphot Musiri ◽  
George Siopsis
Keyword(s):  
Black Holes ◽  
Quasinormal Modes ◽  
Ads Black Holes

scholarly journals Anomalous decay rate of quasinormal modes in Schwarzschild-dS and Schwarzschild-AdS black holes

2020 ◽  
Vol 2020 (8) ◽  
Author(s):  
Almendra Aragón ◽  
P.A. González ◽  
Eleftherios Papantonopoulos ◽  
Yerko Vásquez
Keyword(s):  
Black Holes ◽  
Scalar Field ◽  
Decay Rate ◽  
Critical Mass ◽  
Quasinormal Modes ◽  
De Sitter ◽  
Field Mass ◽  
Massive Scalar Field ◽  
Ads Black Holes ◽  
Sitter Background

Abstract Recently an anomalous decay rate of the quasinormal modes of a massive scalar field in Schwarzschild black holes backgrounds was reported in which the longest-lived modes are the ones with higher angular number, for a scalar field mass smaller than a critical value, while that beyond this value the behaviour is inverted. In this work, we extend the study to other asymptotic geometries, such as, Schwarzschild-de Sitter and Schwarzschild-AdS black holes. Mainly, we found that such behaviour and the critical mass are present in the Schwarzschild-de Sitter background. Also, we found that the value of the critical mass increases when the cosmological constant increases and also when the overtone number is increasing. On the other hand, despite the critical mass is not present in Schwarzschild-AdS black holes backgrounds, the decay rate of the quasinormal modes always exhibits an anomalous behaviour.

IS THERE CLASSICAL SUPER-RADIANCE ON KERR-NEWMAN-ANTI-DE SITTER BLACK HOLES?

2002 ◽  
Vol 17 (20) ◽  
pp. 2782-2782
Author(s):  
ELIZABETH WINSTANLEY
Keyword(s):  
Black Holes ◽  
Boundary Conditions ◽  
Killing Vector ◽  
De Sitter ◽  
Transparent Boundary Conditions ◽  
Asymptotically Flat ◽  
Ads Black Holes ◽  
Definition Of ◽  
Conditions At Infinity ◽  
Positive Frequency

Since the formulation of the AdS/CFT correspondence 1, there has been great interest in space-times which are asymptotically anti-de Sitter, and the properties of the Kerr-Newman-anti-de Sitter (KN-AdS) space-time in various dimensions have been extensively studied 2. However, the properties of classical or quantum fields propagating on this background have not been widely studied, and, in particular, the question of whether super-radiance occurs has not been addressed. This is an important issue since a detailed understanding of classical super-radiance is necessary before tackling quantum field theory on rotating black hole geometries 3. We considered a classical scalar field on the KN-AdS background 4, and examined the form of the separated field modes. Given the structure of infinity in asymptotically anti-de Sitter space-times, we paid particular attention to the boundary conditions at infinity. Unlike the situation for asymptotically flat Kerr-Newman black holes 5, super-radiance is not inevitable. It depends partly on our choice of boundary condition at infinity. For reflective boundary conditions at infinity, there is no super-radiance. On the other hand, if we consider transparent boundary conditions at infinity, then the presence of super-radiance depends on our choice of positive frequency. For those KN-AdS black holes possessing a globally time-like Killing vector, then the natural definition of positive frequency implies that there are no super-radiant modes. For other KN-AdS black holes, then this same definition of positive frequency again leads to no super-radiance.

scholarly journals Perturbative and nonperturbative fermionic quasinormal modes of Einstein-Gauss-Bonnet-AdS black holes

2018 ◽  
Vol 98 (6) ◽  
Author(s):  
P. A. González ◽  
Yerko Vásquez ◽  
Ruth Noemí Villalobos
Keyword(s):  
Black Holes ◽  
Quasinormal Modes ◽  
Ads Black Holes

scholarly journals Maxwell perturbations in a cavity with Robin boundary conditions: two branches of modes with spectrum bifurcation on Schwarzschild black holes

2021 ◽  
Vol 81 (12) ◽  
Author(s):  
Yunhe Lei ◽  
Mengjie Wang ◽  
Jiliang Jing
Keyword(s):  
Black Holes ◽  
Boundary Conditions ◽  
Energy Flux ◽  
Maxwell Equations ◽  
Quasinormal Modes ◽  
De Sitter ◽  
Angular Momentum Quantum Number ◽  
Ads Black Holes ◽  
Maxwell Fields ◽  
Robin Boundary

AbstractWe perform a systematic study of the Maxwell quasinormal spectrum in a mirror-like cavity following the generic Robin type vanishing energy flux principle, by starting with the Schwarzschild black holes in this paper. It is shown that, for black holes in a cavity, the vanishing energy flux principle leads to two different sets of boundary conditions. By solving the Maxwell equations with these two boundary conditions both analytically and numerically, we observe two distinct sets of modes. This indicates that the vanishing energy flux principle may be applied not only to asymptotically anti-de Sitter (AdS) black holes but also to black holes in a cavity. In the analytic calculations, the imaginary part of the Maxwell quasinormal modes are derived analytically for both boundary conditions, which match well with the numeric results. While in the numeric calculations, we complete a thorough study on the two sets of the Maxwell spectrum by varying the mirror radius $$r_m$$ r m , the angular momentum quantum number $$\ell $$ ℓ , and the overtone number N. In particular, we proclaim that the Maxwell spectrum may bifurcate for both modes when the mirror is placed around the black hole event horizon, which is analogous to the spectrum bifurcation effects found for the Maxwell fields on asymptotically AdS black holes. This observation provides another example to exhibit the similarity between black holes in a cavity and the AdS black holes.

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