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Instability of Charged Gauss-Bonnet Black Hole in de Sitter Spacetime at Large $D$
High Energy Physics - Theory · Submitted 16 Jul 2016
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Furthermore we show that the charged GB black hole becomes unstable only if the cosmological constant is positive, otherwise the black hole is always stable.
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The abstract, sentence by sentence
We study the stabilities of (A)dS charged Gauss-Bonnet(GB) black holes in the large $D$ dimensions. After integrating the equation of motion with respect to the radial direction, we obtain the effective equations at large $D$ to describe the nonlinear dynamical deformations of the black hole. From the perturbation analysis of the effective equations, we get the analytic expressions of the frequencies for the quasinormal modes of scalar type. Furthermore we show that the charged GB black hole becomes unstable only if the cosmological constant is positive, otherwise the black hole is always stable. At the onset of instabilities there is a non-trivial static zero-mode perturbation, which suggests the existence of a new non-spherical symmetric solution branch of static dS charged GB black holes. We construct the non-spherical symmetric static solution of the large $D$ effective equations explicitly.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study the stabilities of (A)dS charged Gauss-Bonnet(GB) black holes in the large $D$ dimensions. | contribution 0.94 | 0.93 | 0.04 | asserted 0.57 |
| s1 | After integrating the equation of motion with respect to the radial direction, we obtain the effective equations at large $D$ to describe the nonlinear dynamical deformations of the black hole. | method 0.99 | 0.96 | 0.03 | asserted 1.00 |
| s2 | From the perturbation analysis of the effective equations, we get the analytic expressions of the frequencies for the quasinormal modes of scalar type. | result 0.68 | 0.95 | 0.06 | asserted 1.00 |
| s3 | Furthermore we show that the charged GB black hole becomes unstable only if the cosmological constant is positive, otherwise the black hole is always stable. | result 1.00 | 0.93 | 0.75 | asserted 1.00 |
| s4 | At the onset of instabilities there is a non-trivial static zero-mode perturbation, which suggests the existence of a new non-spherical symmetric solution branch of static dS charged GB black holes. | interpretation 0.83 | 0.92 | 0.19 | hedged possibility 0.84 |
| s5 | We construct the non-spherical symmetric static solution of the large $D$ effective equations explicitly. | contribution 0.79 | 0.96 | 0.11 | asserted 1.00 |
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Original abstract
We study the stabilities of (A)dS charged Gauss-Bonnet(GB) black holes in the large $D$ dimensions. After integrating the equation of motion with respect to the radial direction, we obtain the effective equations at large $D$ to describe the nonlinear dynamical deformations of the black hole. From the perturbation analysis of the effective equations, we get the analytic expressions of the frequencies for the quasinormal modes of scalar type. Furthermore we show that the charged GB black hole becomes unstable only if the cosmological constant is positive, otherwise the black hole is always stable. At the onset of instabilities there is a non-trivial static zero-mode perturbation, which suggests the existence of a new non-spherical symmetric solution branch of static dS charged GB black holes. We construct the non-spherical symmetric static solution of the large $D$ effective equations explicitly.
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References
How the literature uses it
17 arXiv papers cite this in 17 sentences
Papers citing it · 5 sentences without a confident label
Cites it as background 12 papers
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One branch is led by Emparan, Suzuki, Tanabe (EST) and collaborators [ref] , which has been very successful in finding various stationary black holes and studying the dynamics of instabilities[See [ref] , [ref] , and [ref] for other collaborations that use large $D$ techniques similar to the framework of EST to study interesting and diverse problems.].
Black Rings in Large $D$ Membrane Paradigm at the First Order · Introduction · 0.93
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Parallel work developing the effective description of black hole dynamics at large $D$ in various special limits and using it to address physical questions of interest can be found in [ref] .] propagating without back reaction on any background that solves Einstein's equations.
An Action for and Hydrodynamics from the improved Large D membrane · Introduction · 1.00
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Recent studies of black holes/branes have employed the large dimension $D$ limit to address classical stability issues [ref] — [ref] .
Schwarzschild-Tangherlini quasinormal modes at large $D$ revisited · Introduction · 0.99
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