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Quasi-normal Modes of Electromagnetic Perturbations of Four-Dimensional Topological Black Holes with Scalar Hair

TLDR
In this paper, the perturbative behavior of topological black holes with scalar hair was studied and the quasi-normal modes of the electromagnetic perturbations were calculated analytically and numerically.
Abstract
We study the perturbative behaviour of topological black holes with scalar hair. We calculate both analytically and numerically the quasi-normal modes of the electromagnetic perturbations. In the case of small black holes we find evidence of a second-order phase transition of a topological black hole to a hairy configuration.

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Citations
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Electromagnetic quasinormal modes of D-dimensional black holes

TL;DR: In this paper, the asymptotic quasinormal (QN) frequencies of an electromagnetic field moving in D-dimensional Schwarzschild and Schwarzschild de Sitter (SdS) black holes were calculated using the monodromy method.
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Topological black holes with curvature induced scalarization in the extended scalar-tensor theories

- 18 May 2022 - 
TL;DR: In this article , the perturbative behavior of topological black holes in the presence of a cosmological constant and a scalar field coupled to the Gauss-Bonnet term was studied.
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Logarithmic corrections to entropy for black holes with hyperbolic horizon

TL;DR: In this paper, logarithmic corrections to entropy for black holes with hyperbolic horizon were performed for topological black holes and MTZ black holes in four dimensions, while in five dimensions, the Gauss-Bonnet black hole with negative coupling was considered.
References
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Journal ArticleDOI

Quasinormal modes of AdS black holes and the approach to thermal equilibrium

TL;DR: In this paper, the decay of a scalar field outside a Schwarzschild anti-de Sitter black hole was investigated by computing the complex frequencies associated with quasinormal modes.
Journal ArticleDOI

Black holes with unusual topology

TL;DR: In this paper, the authors show that the mass spectrum of states is positive definite in the asymptotically anti-char21{}de Sitter space, where the horizon can be a Riemann surface with genus $g.
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Quasinormal modes of Schwarzschild anti-de Sitter black holes: Electromagnetic and gravitational perturbations

TL;DR: In this article, the authors studied the quasinormal modes of electromagnetic and gravitational perturbations of a Schwarzschild black hole in an asymptotically anti-de Sitter (AdS) spacetime.
Journal ArticleDOI

Cylindrical Black Hole in General Relativity

TL;DR: A black hole solution of the field equations with cylindrical symmetry was found in this article using the Hamiltonian formulation and the causal structure was analyzed using three dimensions of the black hole.
Journal ArticleDOI

Thermodynamics of (3+1)-dimensional black holes with toroidal or higher genus horizons

TL;DR: In this paper, the authors examined counterparts of the Reissner-Nordstr\"om\char21{}anti\char 21{}de Sitter black hole spacetimes in which the two-sphere has been replaced by a surface \ensuremath{\Sigma} of constant negative or zero curvature.
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