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Quasipatterns have been found in dissipative systems ranging from Faraday waves in vertically vibrated fluid layers to nonlinear optics. We describe the dynamics of octagonal, decagonal and dodecagonal quasipatterns by means of coupled…

Pattern Formation and Solitons · Physics 2009-10-31 Blas Echebarria , Hermann Riecke

Here we shall show that there is no other instability for the Einstein-Gauss-Bonnet-anti-de Sitter (AdS) black holes, than the eikonal one and consider the features of the quasinormal spectrum in the stability sector in detail. The obtained…

High Energy Physics - Theory · Physics 2017-10-03 R. A. Konoplya , A. Zhidenko

We investigate the pseudospectrum of a Schwarzschild-like spacetime within the framework of black hole perturbation theory to analyze a counterintuitive assertion regarding the instability of quasinormal modes. Recent findings suggest that…

General Relativity and Quantum Cosmology · Physics 2025-05-14 Pedro Henrique Croti Siqueira , Lucas Tobias de Paula , Rodrigo Panosso Macedo , Maurício Richartz

It is shown that the quasi-normal modes arise, in a natural way, when considering the oscillations in unbounded regions by imposing the radiation condition at spatial infinity with a complex wave vector $k$. Hence quasi-normal modes are not…

High Energy Physics - Theory · Physics 2007-05-23 V. V. Nesterenko , A. Feoli , G. Lambiase , G. Scarpetta

In this letter, we provide an alternative method to study the area spectrum of certain classes of extremal black holes which have near-horizon geometry as warped AdS. We argue that previous methods which are based on the existence of…

General Relativity and Quantum Cosmology · Physics 2014-11-25 Wen-Yu Wen

We propose accurate calculations of quasinormal modes of black holes in the Einstein-aether theory, which were previously considered in the literature, partially, with insufficient accuracy. We also show that the arbitrarily long-lived…

General Relativity and Quantum Cosmology · Physics 2020-08-31 M. S. Churilova

During the last years, one had to combine the proposal about how quasinormal frequencies are related with black holes and the proposal about the adiabatic invariance of black holes in order to derive the quantized entropy spectrum and its…

General Relativity and Quantum Cosmology · Physics 2011-07-13 Bibhas Ranjan Majhi , Elias C. Vagenas

We analytically calculate the quasi-normal modes of various perturbations of spacelike stretched and null warped $AdS_3$ black holes. From AdS/CFT correspondence, these quasi-normal modes are expected to appear as the poles in momentum…

High Energy Physics - Theory · Physics 2010-02-08 Bin Chen , Zhi-bo Xu

Perturbations of black holes, initially considered in the context of possible observations of astrophysical effects, have been studied for the past ten years in string theory, brane-world models and quantum gravity. Through the famous…

General Relativity and Quantum Cosmology · Physics 2011-09-29 R. A. Konoplya , A. Zhidenko

The semiclassical approximation is studied on hypersurfaces approaching the union of future null infinity and the event horizon on a large class of four dimensional black hole backgrounds. Quantum fluctuations in the background geometry are…

High Energy Physics - Theory · Physics 2009-10-28 Gilad Lifschytz , Miguel E. Ortiz

We investigate the dynamics of scalar fields in the near-horizon exterior region of a Schwarzschild black hole. We show that low-energy modes are typically long-living and might be considered as being confined near the black hole horizon.…

General Relativity and Quantum Cosmology · Physics 2019-10-30 A. P. Balachandran , A. R. de Queiroz , Alberto Saa

Quadratic quasi-normal modes, generated at second order in black hole perturbation theory, are a promising target for testing gravity in the nonlinear regime with next-generation gravitational wave detectors. While their frequencies have…

General Relativity and Quantum Cosmology · Physics 2024-12-16 Bruno Bucciotti , Leonardo Juliano , Adrien Kuntz , Enrico Trincherini

Treating macro-black hole as quantum states, and using Brown-York quaselocal gravitational energy definition and Heisenberg uncertainty principle, we find out the classical horizon with singularity spreads into a quantum horizon in which…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Hua Bai , Mu-Lin Yan

Black hole highly-damped quasi-normal frequencies (QNFs) are very often of the form (offset)} + i n (gap). We have investigated the genericity of this phenomenon for the Schwarzschild--deSitter (SdS) black hole by considering a model…

General Relativity and Quantum Cosmology · Physics 2011-09-28 Jozef Skakala , Matt Visser

We investigate some of the issues relating to the dynamical instability of general static spacetimes with horizons. Our paper will be partially pedagogical and partially exploratory in nature. After discussing the current understanding, we…

High Energy Physics - Theory · Physics 2009-11-07 Veronika E. Hubeny , Mukund Rangamani

It has recently been proved that a simple generalization of electromagnetism, referred to as quasitopological electromagnetic field theory, is characterized by the presence of dyonic black-hole solutions of the Einstein field equations…

General Relativity and Quantum Cosmology · Physics 2024-04-08 Shahar Hod

Recently, in the context of dS/CFT correspondence, quasinormal modes have been put forward to address certain features of this conjecture. In particular, it is argued that the dual states of quasi-normal modes are in fact the states of…

General Relativity and Quantum Cosmology · Physics 2014-09-10 M. Reza Tanhayi

We provide a rigorous definition of quasinormal modes for the Kerr black hole. They are obtained as the discrete set of poles of the meromorphically continued cutoff resolvent. The construction combines the method of complex scaling near…

Analysis of PDEs · Mathematics 2025-07-23 Thomas Stucker

The quasinormal modes (QNMs) associated with the decay of Dirac field perturbation around a Schwarzschild-anti-de Sitter (SAdS) black hole is investigated by using Horowitz-Hubeny approach. We find that both the real and the imaginary parts…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jiliang Jing

We investigate the (axial) quasinormal modes of black holes embedded in generic matter profiles. Our results reveal that the axial QNMs experience a redshift when the black hole is surrounded by various matter environments, proportional to…

General Relativity and Quantum Cosmology · Physics 2025-03-10 Laura Pezzella , Kyriakos Destounis , Andrea Maselli , Vitor Cardoso
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