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Comments on absorption cross section for Chern-Simons black holes in five dimensions
General Relativity and Quantum Cosmology · Submitted 25 Apr 2011
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We consider the two branches of black hole solutions $(\alpha=\pm 1)$ and we show that, if the mass of black hole increase the absorption cross section decreases at the zero-frequency limit for the branch $\alpha=-1$ and for the other branch, $\alpha=1$, the behavior is opposite, if the black hole mass increase the absorption cross section increases.
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The abstract, sentence by sentence
In this paper we study the effects of black hole mass on the absorption cross section for a massive scalar field propagating in a 5-dimensional topological Chern-Simons black hole at the low-frequency limit. We consider the two branches of black hole solutions $(\alpha=\pm 1)$ and we show that, if the mass of black hole increase the absorption cross section decreases at the zero-frequency limit for the branch $\alpha=-1$ and for the other branch, $\alpha=1$, the behavior is opposite, if the black hole mass increase the absorption cross section increases. Also we find that beyond a certain frequency value, the mass black hole does not affect the absorption cross section.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In this paper we study the effects of black hole mass on the absorption cross section for a massive scalar field propagating in a 5-dimensional topological Chern-Simons black hole at the low-frequency limit. | contribution 1.00 | 0.88 | 0.06 | asserted 0.80 |
| s1 | We consider the two branches of black hole solutions $(\alpha=\pm 1)$ and we show that, if the mass of black hole increase the absorption cross section decreases at the zero-frequency limit for the branch $\alpha=-1$ and for the other branch, $\alpha=1$, the behavior is opposite, if the black hole mass increase the absorption cross section increases. | result 0.99 | 0.94 | 0.76 | asserted 1.00 |
| s2 | Also we find that beyond a certain frequency value, the mass black hole does not affect the absorption cross section. | result 1.00 | 0.95 | 0.18 | asserted 1.00 |
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The paper
Original abstract
In this paper we study the effects of black hole mass on the absorption cross section for a massive scalar field propagating in a 5-dimensional topological Chern-Simons black hole at the low-frequency limit. We consider the two branches of black hole solutions $(\alpha=\pm 1)$ and we show that, if the mass of black hole increase the absorption cross section decreases at the zero-frequency limit for the branch $\alpha=-1$ and for the other branch, $\alpha=1$, the behavior is opposite, if the black hole mass increase the absorption cross section increases. Also we find that beyond a certain frequency value, the mass black hole does not affect the absorption cross section.
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How the literature uses it
6 arXiv papers cite this in 6 sentences
Papers citing it · 3 sentences without a confident label
Compares with it 2 papers
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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 1 paper
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For more studies, see [ref] .
Greybody factors for Spherically Symmetric Einstein-Gauss-Bonnet-de Sitter black hole · Introduction · 0.98
What it cites · 12 sentences without a confident label
Cites as background 8 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] .
Chern-Simons black holes: scalar perturbations, mass and area spectrum and greybody factors · Quasinormal modes and absorption cross sections of scalar perturbations · 0.89
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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] .
Black holes with topologically nontrivial AdS asymptotics · Quasinormal modes and absorption cross sections of scalar perturbations · 0.89
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For hyperbolic topologies, the Chern-Simons black holes resemble to the topological black holes [ref] in their zero mass limit, and their thermodynamic behavior was studied in [ref] and the quasi-normal modes (QNMs), the reflection coefficients, the transmission coefficients and the absorption cross section of scalar perturbations was studied in [ref] .
Pair Production of Topological anti de Sitter Black Holes · Introduction · 0.92
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