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An exact expression for the quasinormal modes of scalar perturbations on a massless topological black hole in four and higher dimensions is presented. The massive scalar field is nonminimally coupled to the curvature, and the horizon…

High Energy Physics - Theory · Physics 2008-11-26 Rodrigo Aros , Cristian Martinez , Ricardo Troncoso , Jorge Zanelli

We study the spectrum of tensor perturbations on extremal BTZ black holes in topologically massive gravity for arbitrary values of the coefficient of the Chern-Simons term, $\mu$. Imposing proper boundary conditions at the boundary of the…

High Energy Physics - Theory · Physics 2014-11-21 Hamid R. Afshar , Mohsen Alishahiha , Amir E. Mosaffa

Motivated by several pieces of evidence, in order to show that extreme black holes cannot be obtained as limits of non-extremal black holes, in this article we calculate explicitly quasinormal modes for Ba\~{n}ados, Teitelboim and Zanelli…

High Energy Physics - Theory · Physics 2016-08-16 Juan Crisóstomo , Samuel Lepe , Joel Saavedra

We show that quasinormal modes cannot exist in the extremal BTZ black hole. For this purpose, we consider propagations of a minimally coupled scalar and a single massive graviton obtained from the cosmological topologically massive gravity…

General Relativity and Quantum Cosmology · Physics 2011-09-30 Yun Soo Myung , Yong-Wan Kim , Young-Jai Park

The BTZ black hole is geometrically finite. This means that its three dimensional hyperbolic structure as encoded in its metric is in 1-1 correspondence with the Teichmuller space of its boundary, which is a two torus. The equivalence of…

High Energy Physics - Theory · Physics 2009-11-11 Kumar S. Gupta , Siddhartha Sen

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

We study neutral massless scalar field perturbations around an extreme dilaton black hole in 2 +1 dimensions: the wave equations of the massless scalar field is shown to be exactly solvable in terms of Whittaker functions. Thus, the…

General Relativity and Quantum Cosmology · Physics 2022-07-27 Sharmanthie Fernando , P. A. González , Yerko Vásquez

We determine the black hole quasi-normal mode spectrum for tensor perturbations in topologically massive AdS-gravity. In the special case of chiral gravity quasi-normal modes are absent despite of the presence of a horizon. In the process…

High Energy Physics - Theory · Physics 2009-12-10 Ivo Sachs , Sergey N. Solodukhin

Analytic exact expressions for the quasinormal modes of scalar and electromagnetic perturbations around a special class of black holes are found in d\ge3 dimensions. It is shown that, the size of the black hole provides a bound for the…

High Energy Physics - Theory · Physics 2014-11-20 Julio Oliva , Ricardo Troncoso

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

We study quasinormal modes of massive scalar perturbations in Kerr black holes using the isomonodromic method. For arbitrary scalar masses $M \mu$ and black hole spins $a/M$, we numerically determine the quasinormal frequencies for various…

General Relativity and Quantum Cosmology · Physics 2024-12-31 João Paulo Cavalcante , Maurício Richartz , Bruno Carneiro da Cunha

We perturb the non-rotating BTZ black hole with a non-minimally coupled massless scalar field, and we compute the quasinormal spectrum exactly. We solve the radial equation in terms of hypergeometric functions, and we obtain an analytical…

High Energy Physics - Theory · Physics 2018-05-15 Grigoris Panotopoulos

We present an exact expression for the quasinormal modes of scalar, electromagnetic and gravitational perturbations of a near extremal Scwarzschild-de Sitter black hole and we show why a previous approximation holds exactly in this near…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Vitor Cardoso , Jose' P. S. Lemos

We calculate the quasinormal modes and associated frequencies of the Banados, Zanelli and Teitelboim (BTZ) non-rotating black hole. This black hole lives in 2+1-dimensions in an asymptotically anti-de Sitter spacetime. We obtain exact…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Vitor Cardoso , Jose' P. S. Lemos

We investigate the scalar field equation in a (2+1)-dimensional charged BTZ black hole. The quasinormal spectra of the solution are obtained applying two different methods and good convergence between both is achieved. Using the…

General Relativity and Quantum Cosmology · Physics 2024-09-25 Rodrigo Dal Bosco Fontana

In this work we derive the asymptotic quasi-normal modes of a BTZ black hole using a quantum field theoretic Lagrangian. The BTZ black hole is a very popular system in the context of $2+1$-dimensional quantum gravity. However to our…

General Relativity and Quantum Cosmology · Physics 2015-09-22 Soham Pal , Karthik Rajeev , S. Shankaranarayanan

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

We have studied the scalar field as well as the fermonic field perturbations in the background of the massless BTZ black holes. Comparing with the perturbation results in the generic nonrotating BTZ black hole background, we found that the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Xiaoping Rao , Bin Wang , Guohong Yang

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 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
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