Greybody factors for Spherically Symmetric Einstein-Gauss-Bonnet-de Sitter black hole

Bin Chen; Cheng-Yong Zhang; Peng-Cheng Li

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Greybody factors for Spherically Symmetric Einstein-Gauss-Bonnet-de Sitter black hole

Cheng-Yong Zhang, Peng-Cheng Li, Bin Chen

High Energy Physics - Theory · Submitted 2 Dec 2017

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We find that the non-minimal coupling may suppress the Hawking radiation, while the Gauss-Bonnet coupling could enhance the radiation.

how it is stated · hedged possibility 0.96 read the record →

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arXiv ID1712.00620 (version 3)

Pith ID4SJAYO75, Pith's permanent record of this paper and its review

CitationBin Chen, Cheng-Yong Zhang, Peng-Cheng Li. "Greybody factors for Spherically Symmetric Einstein-Gauss-Bonnet-de Sitter black hole." arXiv:1712.00620 (2017). https://pith.science/paper/4SJAYO75

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We study the greybody factors of the scalar fields in spherically symmetric Einstein-Gauss-Bonnet-de Sitter black holes in higher dimensions. We derive the greybody factors analytically for both minimally and non-minimally coupled scalar fields. Moreover, we discuss the dependence of the greybody factor on various parameters including the angular momentum number, the non-minimally coupling constant, the spacetime dimension, the cosmological constant and the Gauss-Bonnet coefficient in detail. We find that the non-minimal coupling may suppress the Hawking radiation, while the Gauss-Bonnet coupling could enhance the radiation.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We study the greybody factors of the scalar fields in spherically symmetric Einstein-Gauss-Bonnet-de Sitter black holes in higher dimensions.	contribution 0.98	0.94	0.04	asserted 0.87
s1	We derive the greybody factors analytically for both minimally and non-minimally coupled scalar fields.	contribution 0.72	0.97	0.07	asserted 1.00
s2	Moreover, we discuss the dependence of the greybody factor on various parameters including the angular momentum number, the non-minimally coupling constant, the spacetime dimension, the cosmological constant and the Gauss-Bonnet coefficient in detail.	contribution 0.92	0.91	0.07	asserted 0.93
s3	We find that the non-minimal coupling may suppress the Hawking radiation, while the Gauss-Bonnet coupling could enhance the radiation.	result 0.97	0.95	0.77	hedged possibility 0.96

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The paper

Original abstract

We study the greybody factors of the scalar fields in spherically symmetric Einstein-Gauss-Bonnet-de Sitter black holes in higher dimensions. We derive the greybody factors analytically for both minimally and non-minimally coupled scalar fields. Moreover, we discuss the dependence of the greybody factor on various parameters including the angular momentum number, the non-minimally coupling constant, the spacetime dimension, the cosmological constant and the Gauss-Bonnet coefficient in detail. We find that the non-minimal coupling may suppress the Hawking radiation, while the Gauss-Bonnet coupling could enhance the radiation.

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References

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Greybody factors of large Gauss-Bonnet d-dimensional black holes
hep-th 2026-09 conditional novelty 5.0 of 10

Analytic greybody factors for d-dimensional Gauss-Bonnet black holes are derived to first order in the coupling in the eikonal and highly damped frequency limits.
Greybody factor and power spectra of the Hawking radiation in the novel $4D$ Einstein-Gauss-Bonnet de-Sitter gravity
hep-th 2020-03 conditional novelty 5.0 of 10

For a four-dimensional Einstein-Gauss-Bonnet de Sitter black hole, the Hawking emission spectrum is computed numerically, and a negative Gauss-Bonnet coupling is found to raise the black hole temperature and the emitt...
Superradiance and stability of the novel 4D charged Einstein-Gauss-Bonnet black hole
gr-qc 2020-04 conditional novelty 4.0 of 10

For the charged 4D Einstein-Gauss-Bonnet black hole, positive Gauss-Bonnet coupling strengthens superradiant amplification and negative coupling weakens it, while all quasinormal modes decay, so the spacetime is stable.
Grey-body factors of black holes
gr-qc 2026-10 accept novelty 2.0 of 10

A review of the definition, computation, and physical applications of grey-body factors across asymptotically flat, de Sitter, and anti-de Sitter black hole spacetimes.

How the literature uses it

11 arXiv papers cite this in 34 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 20 sentences without a confident label

Contests it 1 paper

Moreover, the greybody factors for odd dimensional spacetime cannot be obtained from the approximatively analytical method in [ref] .

Hawking radiation for scalar fields by Einstein-Gauss-Bonnet-de Sitter black holes · Comparison of numerical and analytical results · contest 0.76

Uses its method or tool 3 papers

The effective potential felt by the scalar field is [equation] The potential vanishes at both the event horizon and cosmological horizon of EGB-dS black hole, which allows us to analytically derive the greybody factor by using matched asymptotic expansion method [ref] .

Hawking radiation for scalar fields by Einstein-Gauss-Bonnet-de Sitter black holes · Background · 0.87
Here we adopt the method developed in [ref] .

Greybody factor and power spectra of the Hawking radiation in the novel $4D$ Einstein-Gauss-Bonnet de-Sitter gravity · The scalar field perturbation · 1.00
Here, the metric function $h$ is approximated as [ref] [equation] The new function $h̃$ takes values from 0, at $r=r_c$, to 1 as $r≪r_c$.

Greybody factor for an electrically charged regular-de Sitter black holes in $d$-dimensions · Near the cosmological horizon · 0.94

Compares with it 1 paper

These behaviors are in accordance with those found in [ref] by using approximative analytical method.

Hawking radiation for scalar fields by Einstein-Gauss-Bonnet-de Sitter black holes · Effects of $α̃$ and $ξ$ on the power spectra of Hawking radiation · 0.80

Cites it as background 5 papers

Most of the analytical studies were done with some approximation such as the frequency tends to zero or the black hole is very small [ref] .

Superradiance and stability of the novel 4D charged Einstein-Gauss-Bonnet black hole · The amplification factor of the superradiance · 0.94
Moreover, in the non-minimally coupled scalar field sector, the greybody factor was studied in [ref] for the four-dimensional Schwarzschild-dS spacetime and in [ref] for Gauss-Bonnet black holes.

Radiation Spectra and Effective Temperatures in Higher-Dimensional Charged-de Sitter Black Holes · Introduction · 0.88
On the purely theoretical side, Hawking radiation also has drawn attentions on many aspects of gravity mainly including quantum information theory of black hole [ref] , holographic dual in the frame of AdS/CFT correspondence [ref] and Hawking emission spectrum described in terms of the greybody factor in general relativity, extra-dimension models and other alternative gravity theory [ref] .

Greybody factor and power spectra of the Hawking radiation in the novel $4D$ Einstein-Gauss-Bonnet de-Sitter gravity · Introduction · 0.99

What it cites · 38 sentences without a confident label

Uses the method or tool of 3 papers

Now we have [equation] In the intermediate region $r≫r_h$, the solution ([ref]) can be expanded into the form [equation] where [equation] Note that the aforementioned approximations are applicable only for the expressions involving the factor $(1-f)$ and not for the parameters in the Gamma function to increase the validity of the analytical results [ref] .

Greybody Factors for Scalar Fields emitted by a Higher-Dimensional Schwarzschild-de-Sitter Black-Hole · Black hole horizon · 0.90
The function $h$ in the metric can be approximated by [ref] [equation] $h̃$ ranges from 0, at $r=r_c$, to 1 as $r≪r_c$.

Greybody Factors for d-Dimensional Black Holes · Near the cosmological horizon · 0.89
The function $h$ in the metric can be approximated by [ref] [equation] $h̃$ ranges from 0, at $r=r_c$, to 1 as $r≪r_c$.

Greybody factors for non-minimally coupled scalar fields in Schwarzschild-de Sitter spacetime · Near the cosmological horizon · 0.89

Compares with 4 papers

The phenomenon is observed similarly in the SdS case [ref] .

Greybody Factors for Scalar Fields emitted by a Higher-Dimensional Schwarzschild-de-Sitter Black-Hole · Competition between $ξ$ and $Λ$ in the presence of $α̃$ · 0.91
When $α̃→0$, we reproduce the low energy greybody factor for the mode $l=0$, in accordance to the previous higher dimensional analysis [ref] .

Bulk and Brane Decay of a (4+n)-Dimensional Schwarzschild-De-Sitter Black Hole: Scalar Radiation · Minimal coupling $ξ=0$ and dominant mode $l=0$ · 0.92
When $α̃→0$, we reproduce the low energy greybody factor for the mode $l=0$, in accordance to the previous higher dimensional analysis [ref] .

Greybody Factors for d-Dimensional Black Holes · Minimal coupling $ξ=0$ and dominant mode $l=0$ · 0.92

Cites as background 19 papers

For scalar and graviton emissions, the numerical studies of the GB black hole in an asymptotic flat spacetime were carried out in [ref] .

Exact Results for Evaporating Black Holes in Curvature-Squared Lovelock Gravity: Gauss-Bonnet Greybody Factors · Introduction · 0.88
For scalar and graviton emissions, the numerical studies of the GB black hole in an asymptotic flat spacetime were carried out in [ref] .

Long life of Gauss-Bonnet corrected black holes · Introduction · 0.88
For more studies, see [ref] .

Chern-Simons black holes: scalar perturbations, mass and area spectrum and greybody factors · Introduction · 0.98

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