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We initiate the study of stability and pseudospectra of complex momentum modes of asymptotically anti-de Sitter black holes. Similar to quasinormal modes, these can be defined as the poles of the holographic Green's function, albeit for…

High Energy Physics - Theory · Physics 2024-07-09 David Garcia-Fariña , Karl Landsteiner , Pau G. Romeu , Pablo Saura-Bastida

Black holes in anti-de Sitter spacetime provide an important testing ground for both gravitational and field-theoretic phenomena. In particular, the study of perturbations can be useful to further our understanding regarding certain…

General Relativity and Quantum Cosmology · Physics 2024-03-27 Valentin Boyanov , Vitor Cardoso , Kyriakos Destounis , José Luis Jaramillo , Rodrigo Panosso Macedo

Pseudospectral analyses have broadened our understanding of ringdown waveforms from binary remnants, by providing insight into both the stability of their characteristic frequencies under environmental perturbations, as well as the…

General Relativity and Quantum Cosmology · Physics 2024-02-12 Kyriakos Destounis , Valentin Boyanov , Rodrigo Panosso Macedo

Quasinormal modes and frequencies are the eigenvectors and eigenvalues of a non-Hermitian differential operator. They hold crucial significance in the physics of black holes. The analysis of quasinormal modes of black holes in…

High Energy Physics - Theory · Physics 2024-11-22 Daniel Arean , David Garcia-Fariña , Karl Landsteiner

We investigate the low-energy dynamics of systems with pseudo-spontaneously broken $U(1)$ symmetry and Goldstone phase relaxation. We construct a hydrodynamic framework which is able to capture these, in principle independent, effects. We…

High Energy Physics - Theory · Physics 2022-03-07 Martin Ammon , Daniel Arean , Matteo Baggioli , Seán Gray , Sebastian Grieninger

We develop a method to study coupled dynamics of gauge-invariant variables, constructed out of metric and gauge field fluctuations on the background of a AdS$_5$ Reissner-Nordstr\"om black brane. Using this method, we compute the numerical…

High Energy Physics - Theory · Physics 2020-10-28 Navid Abbasi , Sara Tahery

We study the stability of quasinormal modes (QNMs) in electrically charged black brane spacetimes that asymptote to AdS by means of the pseudospectrum. Methodologically, we adopt ingoing Eddington-Finkelstein coordinates to cast QNMs in…

General Relativity and Quantum Cosmology · Physics 2024-11-07 Brad Cownden , Christiana Pantelidou , Miguel Zilhão

Recent investigations of the pseudospectrum in black hole spacetimes have shown that quasinormal mode frequencies suffer from spectral instabilities. This phenomenon may severely affect gravitational-wave spectroscopy and limit precision…

General Relativity and Quantum Cosmology · Physics 2023-03-13 Valentin Boyanov , Kyriakos Destounis , Rodrigo Panosso Macedo , Vitor Cardoso , José Luis Jaramillo

We consider how the quasinormal spectrum for the conformal wave operator on the static patch of de Sitter changes in response to the addition of a small potential. Since the quasinormal modes and co-modes are explicitly known, we are able…

General Relativity and Quantum Cosmology · Physics 2024-07-30 Claude Warnick

In this work, we study the quasinormal modes of Schwarzschild and Schwarzschild (Anti-) de Sitter black holes by a matrix method. The proposed method involves discretizing the master field equation and expressing it in form of a homogeneous…

General Relativity and Quantum Cosmology · Physics 2017-04-04 Kai Lin , Wei-Liang Qian

Black hole spectroscopy is a powerful tool to probe the Kerr nature of astrophysical compact objects and their environment. The observation of multiple ringdown modes in gravitational waveforms could soon lead to high-precision…

General Relativity and Quantum Cosmology · Physics 2021-10-27 Kyriakos Destounis , Rodrigo Panosso Macedo , Emanuele Berti , Vitor Cardoso , José Luis Jaramillo

We compute precise values of quasinormal modes of a massive scalar field in the background of the Schwarzschild-like brane-localised black holes. It is shown that the quasinormal spectrum of the massive field differs qualitatively from that…

General Relativity and Quantum Cosmology · Physics 2024-03-12 Antonina F. Zinhailo

We study the propagation of scalar fields in the background of $2+1$-dimensional Coulomb like AdS black holes, and we show that such propagation is stable under Dirichlet boundary conditions. Then, we solve the Klein-Gordon equation by…

General Relativity and Quantum Cosmology · Physics 2021-10-27 Almendra Aragón , P. A. González , Joel Saavedra , Yerko Vásquez

We study the poles of the retarded Green functions of a holographic superconductor. The model shows a second order phase transition where a charged scalar operator condenses and a U(1) symmetry is spontaneously broken. The poles of the…

High Energy Physics - Theory · Physics 2009-06-17 Irene Amado , Matthias Kaminski , Karl Landsteiner

We use the inverse-dimensional expansion to compute analytically the frequencies of a set of quasinormal modes of static black holes of Einstein-(Anti-)de Sitter gravity, including the cases of spherical, planar or hyperbolic horizons. The…

High Energy Physics - Theory · Physics 2022-03-07 Roberto Emparan , Ryotaku Suzuki , Kentaro Tanabe

The pseudospectra (or spectral instability) of non-selfadjoint operators is a topic of current interest in applied mathematics. In fact, for non-selfadjoint operators the resolvent could be very large outside the spectrum, making the…

Analysis of PDEs · Mathematics 2010-03-05 Nils Dencker

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 effect of external magnetic fields on equilibration in the improved holographic QCD theory in the deconfined phase using the AdS/CFT correspondence. In particular we calculate the quasinormal mode spectra in the…

High Energy Physics - Theory · Physics 2017-04-26 Tuna Demircik , Umut Gursoy

The spectrum and dynamical instability, as well as the transient effect of the tensor perturbation for the so-called Maeda-Dadhich black hole, a type of Kaluza-Klein black hole, in Einstein-Gauss-Bonnet gravity have been investigated in…

General Relativity and Quantum Cosmology · Physics 2024-10-22 Jia-Ning Chen , Liang-Bi Wu , Zong-Kuan Guo

It has recently been found that quasinormal modes of asymptotically anti-de Sitter (AdS) black holes in theories with higher curvature corrections may help to describe the regime of intermediate 't Hooft coupling in the dual field theory.…

General Relativity and Quantum Cosmology · Physics 2017-06-14 P. A. González , R. A. Konoplya , Yerko Vásquez
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