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Chern-Simons black holes: scalar perturbations, mass and area spectrum and greybody factors
High Energy Physics - Theory · Submitted 6 Mar 2010
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We obtain the mass and area spectrum of these black holes and we show that they have a strong dependence on the topology of the transverse space and they are not evenly spaced.
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The abstract, sentence by sentence
We study the Chern-Simons black holes in d-dimensions and we calculate analytically the quasi-normal modes of the scalar perturbations and we show that they depend on the highest power of curvature present in the Chern-Simons theory. We obtain the mass and area spectrum of these black holes and we show that they have a strong dependence on the topology of the transverse space and they are not evenly spaced. We also calculate analytically the reflection and transmission coefficients and the absorption cross section and we show that at low frequency limit there is a range of modes which contributes to the absorption cross section.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study the Chern-Simons black holes in d-dimensions and we calculate analytically the quasi-normal modes of the scalar perturbations and we show that they depend on the highest power of curvature present in the Chern-Simons theory. | contribution 0.83 | 0.96 | 0.29 | asserted 1.00 |
| s1 | We obtain the mass and area spectrum of these black holes and we show that they have a strong dependence on the topology of the transverse space and they are not evenly spaced. | result 0.95 | 0.96 | 0.24 | asserted 1.00 |
| s2 | We also calculate analytically the reflection and transmission coefficients and the absorption cross section and we show that at low frequency limit there is a range of modes which contributes to the absorption cross section. | result 0.75 | 0.96 | 0.15 | asserted 1.00 |
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The paper
Original abstract
We study the Chern-Simons black holes in d-dimensions and we calculate analytically the quasi-normal modes of the scalar perturbations and we show that they depend on the highest power of curvature present in the Chern-Simons theory. We obtain the mass and area spectrum of these black holes and we show that they have a strong dependence on the topology of the transverse space and they are not evenly spaced. We also calculate analytically the reflection and transmission coefficients and the absorption cross section and we show that at low frequency limit there is a range of modes which contributes to the absorption cross section.
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References
How the literature uses it
34 arXiv papers cite this in 49 sentences
Papers citing it · 26 sentences without a confident label
Compares with it 3 papers
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We must note this property of the entropy quantum since the MTBH is among the simplest topological black holes and this property is not valid for the topological black holes studied in [ref] (see below).
Entropy spectrum of the D-dimensional massless topological black hole · Introduction · 1.00
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Here, we observe that in the zero-frequency limit, there is a range of values of $ξ$ which contribute to the absorption cross section, see Fig. ([ref]), as it happens in [ref] , [ref] , [ref] and [ref] .
Quasinormal Modes, Stability Analysis and Absorption Cross Section for 4-dimensional Topological Lifshitz Black Hole · Reflection coefficient, transmission coefficient and absorption cross section · 0.93
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Also, we observe that at the low frequency limit, there is a range of values of $κ$ which contribute to the absorption cross section (see Fig. [ref]), as occurs in [ref] and at the high frequency limit the absorption cross section tends to zero.
Fermionic field perturbations of a three-dimensional Lifshitz black hole in conformal gravity · Absorption cross section · 0.90
Cites it as background 16 papers
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The metric of Chern-Simons black hole under consideration[See Ref. [ref] for details and discussions.] is [equation] where, [equation] and the horizon is located at [equation] Considering the horizon geometry with a negative curvature constant, $γ=-1$, the allowed range of $μ$ for $r_+≥0$ are: if $k$ is odd, $α=1$, $μ≥-1/2G_k$; if $k$ is even and $α=1$, $μ≥0$ and if $k$ is even and $α=-1$, $1/2G_k≥μ≥0$ [ref] .
Comments on absorption cross section for Chern-Simons black holes in five dimensions · Quasinormal modes and absorption cross sections of scalar perturbations · 0.89
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First, in [ref] and recently in [ref] , they were found as solutions to second-order field equations for the metric stemming from string theories with axions.
Using the shadow of a black hole to examine the energy exchange between axion matter and a rotating black hole · Introduction · 0.95
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First, they were found as solutions of second-order field equations for the metric stemming from string theories, in the presence of axions, in [ref] , and more recently in [ref] .
Axion induced angular momentum reversal in Kerr-like black holes · Introduction · 0.80
What it cites · 33 sentences without a confident label
Uses the method or tool of 5 papers
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Consider a system with energy $E$ and vibrational frequency $ω$ [equation] Define [equation] and then ([ref]) becomes [equation] Assuming that this frequency is a fundamental vibrational frequency for a black hole of energy $E=M$, the quantity [equation] is an adiabatic invariant [ref] .
d-Dimensional Black Hole Entropy Spectrum from Quasi-Normal Modes · Mass and area spectrum from quasi-normal modes · 0.94
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We define $D_1 = D_ + D_$ and $D_2 = i h (D_ - D_)$ with $h$ being a dimensionless constant which will be assumed to be independent of the energy $ω$ [ref] .
Dilaton driven Hawking radiation in AdS$_2$ black hole · Reflection, transmission coefficients and absorption cross sections · 0.81
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We define $D_1 = D_ + D_$ and $D_2 = i h (D_ - D_)$ with $h$ being a dimensionless constant which will be assumed to be independent of the energy $ω$ [ref] .
Absorption Cross Section in Warped AdS$_3$ Black Hole · Reflection, transmission coefficients and absorption cross sections · 0.81
Compares with 3 papers
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We found, in the zero-frequency limit that there is a range of values of $ξ$ that contribute to the greybody factor, in contrast to the case analyzed by Das, Gibbons and Mathur [ref] , where in the zero-frequency limit, only the mode with lowest angular momentum contributes to the absorption cross section.
Universailty of Low Energy Absorption Cross-sections for Black Holes · Reflection, transmission coefficients and absorption cross sections · 1.00
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We observe that if $p=1$ we recover the QNMs of the massless topological black holes in $d=4$ dimensions [ref] .
Quasinormal modes for massless topological black holes · $d-$ dimensional Quasi-normal modes of scalar perturbations · 0.95
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The same behaviour also appears in the Maggiore's approach [ref] .
The physical interpretation of the spectrum of black hole quasinormal modes · Mass and area spectrum from quasi-normal modes · 0.80
Cites as background 14 papers
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For spherically symmetric topologies, these black holes are labelled by an integer $k$ which specifies the higher order of curvature present in the Lanczos-Lovelock action and it is related to the dimensionality $d$ of spacetime by the relation $d-2k=1$ [ref] .
Black Hole Scan · Introduction · 0.88
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This space becomes a compact space of constant negative curvature with genus $g ≥2$ by identifying, according to the connection rules of the discrete subgroup $Γ$, the opposite edges of a $4g$-sided polygon whose sides are geodesics and is centered at the origin of the pseudosphere [ref] .
Pair Production of Topological anti de Sitter Black Holes · The Chern-Simons Theory · 0.86
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An interesting proposal was made by Hod [ref] who conjectured that the asymptotic QNM frequency is related to the quantized black hole area.
Bohr's Correspondence Principle and The Area Spectrum of Quantum Black Holes · Introduction · 0.97
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