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It is known that approximating the Regge-Wheeler Potential with step functions significantly modifies the Schwarzschild black hole quasinormal mode spectrum. Surprisingly, this change in the spectrum has little impact on the ringdown…

General Relativity and Quantum Cosmology · Physics 2020-05-06 Ramin G. Daghigh , Michael D. Green , Jodin C. Morey

We obtain an exact analytic expression for the quasinormal modes of a noncommutative massless scalar field in the background of a massive spinless BTZ black hole up to the first order in the deformation parameter. We also show that the…

High Energy Physics - Theory · Physics 2015-10-29 Kumar S. Gupta , E. Harikumar , Tajron Jurić , Stjepan Meljanac , Andjelo Samsarov

We give the connection formulae for ordinary differential equations with 5 and 6 (and in principle can be generalized to more) regular singularities from the data of instanton partition functions of quiver gauge theories. We check the…

High Energy Physics - Theory · Physics 2025-06-09 Pujun Liu , Rui-Dong Zhu

Based on the well known fact that the quasinormal frequencies are the poles of the frequency domain Green's function we describe a method that allows us to calculate exactly the quasinormal frequencies of the Klein-Gordon field moving in…

General Relativity and Quantum Cosmology · Physics 2018-06-19 A. Lopez-Ortega , D. Mata-Pacheco

We provide an in-depth investigation of quasinormal-mode oscillations of Kerr black holes with nearly extremal angular momenta. We first discuss in greater detail the two distinct types of quasinormal mode frequencies presented in a recent…

General Relativity and Quantum Cosmology · Physics 2013-08-28 Huan Yang , Aaron Zimmerman , Anıl Zenginoğlu , Fan Zhang , Emanuele Berti , Yanbei Chen

It was recently found that the optical field fluctuations in self-defocusing media can be described by sound waves propagating in a two-dimensional photon-fluid. This photon-fluid is controlled by the driving beam and serves as the…

General Relativity and Quantum Cosmology · Physics 2024-06-24 Hang Liu , Hong Guo , Ru Ling

In this work we study the Quasi Normal Modes(QNMs) under massless scalar perturbations and the thermodynamics of linearly charged BTZ black holes in massive gravity in the (Anti)de Sitter((A)dS) space time. It is found that the behavior of…

General Relativity and Quantum Cosmology · Physics 2017-01-17 P Prasia , V C Kuriakose

We apply the covariant anomaly cancellation method to compute the Hawking fluxes from the event and cosmic horizons of the Schwarzschild-de Sitter black hole. The derivation is new from the existing ones as we split the space in three…

High Energy Physics - Theory · Physics 2010-04-30 Sunandan Gangopadhyay

Chargeless massive scalar fields are studied in the spacetime of Born-Infeld dilaton black holes (BIDBHs). We first separate the massive covariant Klein-Gordon equation into radial and angular parts and obtain the exact solution of the…

General Relativity and Quantum Cosmology · Physics 2018-09-14 İzzet Sakallı , Kimet Jusufi , Ali Övgün

We calculate the exact values of the quasinormal frequencies for massless perturbations with spin $s\leq2$ moving in pure accelerating spacetime. We use two different methods to transfer the perturbation equations into the form of…

General Relativity and Quantum Cosmology · Physics 2025-07-10 Tao Zhou , Peng-Cheng Li

We discuss an approach to obtaining black hole quasinormal modes (QNMs) using the asymptotic iteration method (AIM), initially developed to solve second order ordinary differential equations. We introduce the standard version of this method…

General Relativity and Quantum Cosmology · Physics 2012-05-08 H. T. Cho , A. S. Cornell , Jason Doukas , T. R. Huang , Wade Naylor

This paper studies the quasinormal mode spectrum of the scalar perturbation on the background of the rotating accelerating black holes. The quasinormal frequency $\omega$ and the separation constant $\lambda$ are calculated using two…

General Relativity and Quantum Cosmology · Physics 2023-05-09 Wei Xiong , Peng-Cheng Li

We investigate some modifications of the static BTZ black hole solution due to a chosen asymptotically constant dilaton/scalar. New classes of static black hole solutions are obtained. One of the solutions contains the Martinez-Zanelli…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Kevin C. K. Chan

We use the solutions of the noncommutative Wheeler-De Witt equation arising from a Kantowski-Sachs cosmological model to compute thermodynamic properties of the Schwarzschild black hole. We show that the noncommutativity in the momentum…

General Relativity and Quantum Cosmology · Physics 2013-05-29 C. Bastos , O. Bertolami , N. C. Dias , J. N. Prata

The saddle point approximation of the path integral partition functions is an important way of deriving the thermodynamical properties of black holes. However, there are certain black hole models and some mathematically analog mechanical…

General Relativity and Quantum Cosmology · Physics 2015-11-11 Hugo A. Morales-Técotl , Daniel H. Orozco-Borunda , Saeed Rastgoo

We present a new framework for characterizing quasinormal modes (QNMs) or resonant states for the wave equation on asymptotically flat spacetimes, applied to the setting of extremal Reissner-Nordstr\"om black holes. We show that QNMs can be…

General Relativity and Quantum Cosmology · Physics 2021-10-15 Dejan Gajic , Claude Warnick

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

Quasinormal modes provide valuable information about the structure of spacetime outside a black hole. There is also a conjectured relationship between the highly damped quasinormal modes and the semi-classical spectrum of the horizon…

General Relativity and Quantum Cosmology · Physics 2015-05-28 James Babb , Ramin G. Daghigh , Gabor Kunstatter

Within the effective field theory approach to gravity, deviations from general relativity can be systematically described by higher-curvature operators. However, computing the resulting corrections to black hole quasinormal mode spectra…

General Relativity and Quantum Cosmology · Physics 2026-04-15 Tom van der Steen , Simon Maenaut , Stef J. B. Husken , Pedro G. S. Fernandes , Maxim D. Jockwer , Vitor Cardoso , Thomas Hertog , Tjonnie G. F. Li

We consider a wave equation with a potential on the half-line as a model problem for wave propagation close to an extremal horizon, or the asymptotically flat end of a black hole spacetime. We propose a definition of quasinormal frequencies…

Analysis of PDEs · Mathematics 2021-10-15 Dejan Gajic , Claude Warnick