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We make a thorough investigation of the asymptotic quasinormal modes of the four and five-dimensional Schwarzschild black hole for scalar, electromagnetic and gravitational perturbations. Our numerical results give full support to all the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Vitor Cardoso , Jose' P. S. Lemos , Shijun Yoshida

We study analytically quasinormal modes in a wide variety of black hole spacetimes, including $d$--dimensional asymptotically flat spacetimes and non-asymptotically flat spacetimes (particular attention has been paid to the four dimensional…

High Energy Physics - Theory · Physics 2009-11-11 Fu-Wen Shu , You-Gen Shen

Quasinormal modes for scalar field perturbations of a Schwarzschild-de Sitter (SdS) black hole are investigated. An analytical approximation is proposed for the problem. The quasinormal modes are evaluated for this approximate model in the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 V. Suneeta

We study quasinormal modes for massive scalar fields in Schwarzschild-anti-de Sitter black holes. When the mass-squared is above the Breitenlohner-Freedman bound we show that for large angular momenta, $\ell$, there exist quasinormal modes…

Spectral Theory · Mathematics 2013-08-13 Oran Gannot

Einstein's General Relativity theory simplifies dramatically in the limit that the spacetime dimension D is very large. This could still be true in the gravity theory with higher derivative terms. In this paper, as the first step to study…

High Energy Physics - Theory · Physics 2016-02-17 Bin Chen , Zhong-Ying Fan , Pengcheng Li , Weicheng Ye

We calculate analytically quasi-normal modes of AdS Schwarzschild black holes including first-order corrections. We consider massive scalar, gravitational and electromagnetic perturbations. Our results are in good agreement with numerical…

High Energy Physics - Theory · Physics 2009-11-11 Suphot Musiri , Scott Ness , George Siopsis

We analyze the semiclassical stability of the Schwarzschild AdS black hole in the Euclidean partition function approach. We perform this computation in the large $D$ limit and focus on scalar perturbations. We obtain the equations for…

General Relativity and Quantum Cosmology · Physics 2022-08-04 Amruta Sadhu , Vardarajan Suneeta

In the large D limit, and under certain circumstances, it has recently been demonstrated that black hole dynamics in asymptotically flat spacetime reduces to the dynamics of a non gravitational membrane propagating in flat D dimensional…

High Energy Physics - Theory · Physics 2017-02-01 Yogesh Dandekar , Anandita De , Subhajit Mazumdar , Shiraz Minwalla , Arunabha Saha

The traditional approach to perturbations of nonrotating black holes in General Relativity uses the reformulation of the equations of motion into a radial second-order Schr\"odinger-like equation, whose asymptotic solutions are elementary.…

General Relativity and Quantum Cosmology · Physics 2021-12-15 David Langlois , Karim Noui , Hugo Roussille

We study characteristic (quasinormal) modes of a $D$-dimensional Schwarzshild black hole. It proves out that the real parts of the complex quasinormal modes, representing the real oscillation frequencies, are proportional to the product of…

General Relativity and Quantum Cosmology · Physics 2018-04-04 R. A. Konoplya

Studies of quasinormal modes (QNMs) of black holes have a long and well established history. Predominantly, much research in this area has customarily focused on the equations given by Regge, Wheeler and Zerilli. In this work we study…

General Relativity and Quantum Cosmology · Physics 2025-02-05 Bishop Mongwane , Sipho Nkele , Didam G. A. Duniya , Nigel T. Bishop

We analyze the quasinormal modes of $D$-dimensional Schwarzschild black holes with the Gauss-Bonnet correction in the large damping limit and show that standard analytic techniques cannot be applied in a straightforward manner to the case…

General Relativity and Quantum Cosmology · Physics 2008-11-26 R. G. Daghigh , G. Kunstatter , J. Ziprick

We show that in the limit where the number of spacetime dimensions D grows to infinity a very large class of black holes (including non-extremal, static, asymptotically flat ones, with any number of gauge-field charges, possibly coupled to…

High Energy Physics - Theory · Physics 2014-03-19 Roberto Emparan , Kentaro Tanabe

We adopt Leaver's method to determine quasi normal frequencies of the Schwarzschild black hole in higher (D >= 10) dimensions. In D-dimensional Schwarzschild metric, when D increases, more and more singularities, spaced uniformly on the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Andrzej Rostworowski

The quasinormal-mode spectrum of the Schwarzschild-de Sitter black hole is studied in the limit of near-equal black-hole and cosmological radii. It is found that the mode_frequencies_ agree with the P"oschl-Teller approximation to one more…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Alec Maassen van den Brink

We calculate high-order quasinormal modes with large imaginary frequencies for electromagnetic and gravitational perturbations in nearly extremal Schwarzschild-de Sitter spacetimes. Our results show that for low-order quasinormal modes, the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Shijun Yoshida , Toshifumi Futamase

We apply the complex scaling method to black-hole perturbations in four-dimensional Schwarzschild--de~Sitter (dS) spacetimes. The method converts the outgoing-wave boundary-value problem into a non-Hermitian spectral problem and enables…

High Energy Physics - Theory · Physics 2026-05-15 Shoya Ogawa , Okuto Morikawa , Takuya Hirose

We present a concise review of known analytic results for quasinormal modes of black holes and related spacetimes. Our emphasis is on those regimes where the perturbation equations admit exact or perturbative solutions, providing insights…

General Relativity and Quantum Cosmology · Physics 2025-04-08 S. V. Bolokhov , Milena Skvortsova

We consider the perturbations of the massive vector field around Schwarzschild black hole, (generally, with non-vanishing $\Lambda$ - term). The monopole massive vector perturbation equations can be reduced to a single wave-like equation.…

General Relativity and Quantum Cosmology · Physics 2009-11-11 R. A. Konoplya

We have studied quasinormal modes of scalar perturbations of a black hole in massive gravity. The parameters of the theory, such as the mass of the black hole, the scalar charge of the black hole and the spherical harmonic index is varied…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Sharmanthie Fernando , Tyler Clark
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