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Motivated by recent physical interpretation on quasinormal modes presented by Maggiore, the adiabatic quantity method given by Kunstatter is used to calculate the spectrums of a non-extremal Schwarzschild de Sitter black hole in this paper,…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Molin Liu , Xuehui Hu , Junwang Lu , Jianbo Lu

In this work we explore some aspects of the spectral instability of back hole quasi-normal modes, using a specific model as an example. The model is that of a small bump perturbation to the effective potential of linear axial gravitational…

General Relativity and Quantum Cosmology · Physics 2025-01-08 Valentin Boyanov

We consider dS_2/CFT_1 where the asymptotic symmetry group of the de Sitter spacetime contains the Virasoro algebra. We construct representations of the Virasoro algebra realized in the Fock space of a massive scalar field in de Sitter,…

High Energy Physics - Theory · Physics 2009-11-11 Alberto Guijosa , David A. Lowe , Jeff Murugan

We study scalar waves on subextremal Kerr-de Sitter spacetimes in a compact slow-rotation regime and at a fixed overtone index. Working initially at a fixed cosmological constant $\Lambda>0$ and uniformly for $(M,a)$ in a compact…

Mathematical Physics · Physics 2026-02-19 Ruiliang Li

Quasinormal modes of scalar, electromagnetic, and gravitational fields in the extreme Schwarzschild-de Sitter background are known to be expressed in analytic form as eigenvalues of the P\"oschl-Teller wavelike equation. We show that…

General Relativity and Quantum Cosmology · Physics 2022-04-07 M. S. Churilova , R. A. Konoplya , A. Zhidenko

The quasiconformal method provides us with a unified approach to the construction of minimal unitary representations (minrep) of noncompact groups, their deformations as well as their supersymmetric extensions. We review the quasiconformal…

High Energy Physics - Theory · Physics 2016-11-23 Murat Gunaydin

We generalize the one-to one correspondence between quasi normal modes in 3- dimensional anti deSitter black holes and the poles of the retarded correlators in the boundary conformal field theory to include logarithmic operators in the…

High Energy Physics - Theory · Physics 2011-02-25 Ivo Sachs

Zero and normal modes for scalar and spinor fields in Kerr-anti de Sitter spacetime are studied as bound state problem with Dirichlet and Neumann boundary conditions. Zero mode is defined as the momentum near the horizon to be zero: $p_{\rm…

General Relativity and Quantum Cosmology · Physics 2024-06-03 Masakatsu Kenmoku , Yongmin Cho , Kazuyasu Shigemoto , Jong Hyuk Yoon

We systematically investigate the quasinormal modes of thick branes in $f(R)$ gravity by numerically solving the Schr\"odinger-like perturbation equation of gravitational perturbations. To ensure the reliability of the results, we employ…

General Relativity and Quantum Cosmology · Physics 2025-12-22 Yu-Peng E , Chun-Chun Zhu , Yu-Xiao Liu

The decay timescales of the quasinormal modes of a massive scalar field have an intriguing behavior: they either grow or decay with increasing angular harmonic numbers $\ell$, depending on whether the mass of the scalar field is small or…

General Relativity and Quantum Cosmology · Physics 2020-04-15 Macarena Lagos , Pedro G. Ferreira , Oliver J. Tattersall

We study in special limiting cases quasinormal modes of massive scalar fields in the Schwarzschild-de Sitter black hole backgrounds. We determine the lower limit on the mass parameter of the scalar field that allows the waves with…

General Relativity and Quantum Cosmology · Physics 2017-07-25 Bobir Toshmatov , Zdeněk Stuchlík

The quasinormal modes of relativistic compact objects encode important information about the gravitational response associated with astrophysical phenomena. Detecting such oscillations would provide us with a unique understanding of the…

General Relativity and Quantum Cosmology · Physics 2016-04-20 Caio F. B. Macedo , Vitor Cardoso , Luís C. B. Crispino , Paolo Pani

By applying the dimensionless scheme, we investigate the quasinormal modes and phase transitions analytically for three types of regular black holes. The universal deviations to the first law of mechanics in regular black holes are proved.…

General Relativity and Quantum Cosmology · Physics 2022-05-13 Chen Lan , Yan-Gang Miao , Hao Yang

By explicitly identifying a basis valid for any number of electrons, we demonstrate that simple multi-quasihole wavefunctions for the $\nu=1/2$ Pfaffian paired Hall state exhibit an exponential degeneracy at fixed positions. Indeed, we…

Condensed Matter · Physics 2009-10-28 Chetan Nayak , Frank Wilczek

The two-dimensional d-wave superconducting state of the high temperature superconductors has a number of different elementary excitations: the spin-singlet Cooper pairs, the spin S=1/2 fermionic quasiparticles, and a bosonic S=1 resonant…

Strongly Correlated Electrons · Physics 2007-05-23 Subir Sachdev , Matthias Vojta

In this paper we study the scalar and electromagnetic perturbations of an extended black hole in F(R) gravity. The quasinormal modes in two cases are evaluated and studied their behavior by plotting graphs in each case. To study the…

General Relativity and Quantum Cosmology · Physics 2015-01-30 Saneesh Sebastian , V. C. Kuriakose

In this paper, we exhaustively investigate the quasinormal modes (QNMs) of a probe scalar field over a d-dimensional regular black hole (BH) characterized by the parameter A. The quasinormal frequencies (QNFs) exhibit different behaviors…

General Relativity and Quantum Cosmology · Physics 2025-03-10 Zhongzhinan Dong , Dan Zhang , Guoyang Fu , Jian-Pin Wu

In this paper, we explore a two-way connection between quasimodular forms of depth $1$ and a class of second-order modular differential equations with regular singularities on the upper half-plane and the cusps. Here we consider the cases…

Number Theory · Mathematics 2021-03-09 Chang-Shou Lin , Yifan Yang

We obtain the quasi-normal mode frequencies of scalar perturbation on new type black holes in three dimensional new massive gravity. In some special cases, the exact quasi-normal mode frequencies are obtained by solving scalar field…

High Energy Physics - Theory · Physics 2011-06-24 Yongjoon Kwon , Soonkeon Nam , Jong-Dae Park , Sang-Heon Yi

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