scholarly journals Asymptotic Distribution of Quasi-Normal Modes for Kerr–de Sitter Black Holes

2012 ◽  
Vol 13 (5) ◽  
pp. 1101-1166 ◽  
Author(s):  
Semyon Dyatlov
Keyword(s):  
Black Holes ◽  
Asymptotic Distribution ◽  
Normal Modes ◽  
De Sitter

scholarly journals Quasi-normal modes for de Sitter–Reissner–Nordström black holes

2017 ◽  
Vol 24 (1) ◽  
pp. 83-117 ◽  
Author(s):  
Alexei Iantchenko
Keyword(s):  
Black Holes ◽  
Normal Modes ◽  
De Sitter

scholarly journals Quasi-normal modes for Dirac fields in the Kerr–Newman–de Sitter black holes

2018 ◽  
Vol 16 (04) ◽  
pp. 449-524
Author(s):  
Alexei Iantchenko
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Zeeman Effect ◽  
Normal Modes ◽  
Outer Region ◽  
Dirac Field ◽  
Commun Math Phys ◽  
De Sitter ◽  
Dirac Fields ◽  
Math Phys

We provide the full asymptotic description of the quasi-normal modes (resonances) in any strip of fixed width for Dirac fields in slowly rotating Kerr–Newman–de Sitter black holes. The resonances split in a way similar to the Zeeman effect. The method is based on the extension to Dirac operators of techniques applied by Dyatlov in [Quasi-normal modes and exponential energy decay for the Kerr–de Sitter black hole, Commun. Math. Phys. 306(1) (2011) 119–163; Asymptotic distribution of quasi-normal modes for Kerr–de Sitter black holes, Ann. Henri Poincaré 13(5) (2012) 1101–1166] to the (uncharged) Kerr–de Sitter black holes. We show that the mass of the Dirac field does not have an effect on the two leading terms in the expansions of resonances. We give an expansion of the solution of the evolution equation for the Dirac fields in the outer region of the slowly rotating Kerr–Newman–de Sitter black hole which implies the exponential decay of the local energy. Moreover, using the [Formula: see text]-normal hyperbolicity of the trapped set and applying the techniques from [Asymptotics of linear waves and resonances with applications to black holes, Commun. Math. Phys. 335 (2015) 1445–1485; Resonance projectors and asymptotics for [Formula: see text]-normally hyperbolic trapped sets, J. Amer. Math. Soc. 28 (2015) 311–381], we give location of the resonance free band and the Weyl-type formula for the resonances in the band near the real axis.

Gravitational quasi-normal modes of static R 2 Anti-de Sitter black holes

2017 ◽  
Vol 26 (6) ◽  
pp. 060401
Author(s):  
Hong Ma ◽  
Jin Li
Keyword(s):  
Black Holes ◽  
Normal Modes ◽  
De Sitter

scholarly journals Quasi-normal modes of Schwarzschild–de Sitter black holes

2003 ◽  
Vol 21 (1) ◽  
pp. 273-280 ◽  
Author(s):  
A Zhidenko
Keyword(s):  
Black Holes ◽  
Normal Modes ◽  
De Sitter

scholarly journals Area Quantization in Quasi-Extreme Black Holes

2003 ◽  
Vol 18 (21) ◽  
pp. 1435-1440 ◽  
Author(s):  
E. Abdalla ◽  
K. H. C. Castello-Branco ◽  
A. Lima-Santos
Keyword(s):  
Black Holes ◽  
Normal Modes ◽  
De Sitter ◽  
Analytical Expressions ◽  
Extreme Black Holes

We consider quasi-extreme Kerr and quasi-extreme Schwarzschild–de Sitter black holes. From the known analytical expressions obtained for their quasi-normal modes frequencies, we suggest an area quantization prescription for those objects.

scholarly journals Quasi-normal modes and stability of Einstein–Born–Infeld black holes in de Sitter space

2020 ◽  
Vol 80 (8) ◽  
Author(s):  
Chong Oh Lee ◽  
Jin Young Kim ◽  
Mu-In Park
Keyword(s):  
Black Holes ◽  
Cosmological Constant ◽  
Normal Modes ◽  
Extremal Black Hole ◽  
Wkb Method ◽  
De Sitter ◽  
Charged Black Holes ◽  
Resonance Modes ◽  
Metric Functions ◽  
The Stability

Abstract We study gravitational perturbations of electrically charged black holes in (3+1)-dimensional Einstein–Born–Infeld gravity with a positive cosmological constant. For the axial perturbations, we obtain a set of decoupled Schrödinger-type equations, whose formal expressions, in terms of metric functions, are the same as those without cosmological constant, corresponding to the Regge–Wheeler equation in the proper limit. We compute the quasi-normal modes (QNMs) of the decoupled perturbations using the Schutz–Iyer–Will’s WKB method. We discuss the stability of the charged black holes by investigating the dependence of quasi-normal frequencies on the parameters of the theory, correcting some errors in the literature. It is found that all the axial perturbations are stable for the cases where the WKB method applies. There are cases where the conventional WKB method does not apply, like the three-turning-points problem, so that a more generalized formalism is necessary for studying their QNMs and stabilities. We find that, for the degenerate horizons with the “point-like” horizons at the origin, the QNMs are quite long-lived, close to the quasi-resonance modes, in addition to the “frozen” QNMs for the Nariai-type horizons and the usual (short-lived) QNMs for the extremal black hole horizons. This is a genuine effect of the branch which does not have the general relativity limit. We also study the exact solution near the (charged) Nariai limit and find good agreements even far beyond the limit for the imaginary frequency parts.

scholarly journals Massive Dirac quasinormal modes in Schwarzschild–de Sitter black holes: Anomalous decay rate and fine structure

2021 ◽  
Vol 103 (6) ◽  
Author(s):  
Almendra Aragón ◽  
Ramón Bécar ◽  
P. A. González ◽  
Yerko Vásquez
Keyword(s):  
Black Holes ◽  
Fine Structure ◽  
Decay Rate ◽  
Quasinormal Modes ◽  
De Sitter

scholarly journals Bifurcation of the Maxwell quasinormal spectrum on asymptotically anti–de Sitter black holes

2021 ◽  
Vol 103 (6) ◽  
Author(s):  
Mengjie Wang ◽  
Zhou Chen ◽  
Xin Tong ◽  
Qiyuan Pan ◽  
Jiliang Jing
Keyword(s):  
Black Holes ◽  
De Sitter

scholarly journals Driven black holes: from Kolmogorov scaling to turbulent wakes

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Tomas Andrade ◽  
Christiana Pantelidou ◽  
Julian Sonner ◽  
Benjamin Withers
Keyword(s):  
Nonlinear Dynamics ◽  
Black Holes ◽  
General Relativity ◽  
Black Hole ◽  
Strong Field ◽  
De Sitter ◽  
Event Horizons ◽  
Binary Mergers ◽  
Tidal Deformations ◽  
Proof Of Principle

Abstract General relativity governs the nonlinear dynamics of spacetime, including black holes and their event horizons. We demonstrate that forced black hole horizons exhibit statistically steady turbulent spacetime dynamics consistent with Kolmogorov’s theory of 1941. As a proof of principle we focus on black holes in asymptotically anti-de Sitter spacetimes in a large number of dimensions, where greater analytic control is gained. We focus on cases where the effective horizon dynamics is restricted to 2+1 dimensions. We also demonstrate that tidal deformations of the horizon induce turbulent dynamics. When set in motion relative to the horizon a deformation develops a turbulent spacetime wake, indicating that turbulent spacetime dynamics may play a role in binary mergers and other strong-field phenomena.

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