Black Strings in Gauss-Bonnet Theory are Unstable

Aldo Vera; Alex Giacomini; Julio Oliva

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Black Strings in Gauss-Bonnet Theory are Unstable

Alex Giacomini, Julio Oliva, Aldo Vera

High Energy Physics - Theory · Submitted 12 Mar 2015

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

The authors' main claim We report the existence of unstable, s-wave modes, for black strings in Gauss-Bonnet theory (which is quadratic in the curvature) in seven dimensions.

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What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.76 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.10 · compares with prior results 0.77 · mentions code or data availability 0.01.

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arXiv listing abstract v3. Results and the main claim are underlined; show every role.

We report the existence of unstable, s-wave modes, for black strings in Gauss-Bonnet theory (which is quadratic in the curvature) in seven dimensions. This theory admits analytic uniform black strings that in the transverse section are black holes of the same Gauss-Bonnet theory in six dimensions. All the components of the perturbation can be written in terms of a single one and its derivatives. For this latter component we find a master equation which admits bounded solutions provided the characteristic time of the exponential growth of the perturbation is related with the wave number along the extra direction, as it occurs in General-Relativity. It is known that these configurations suffer from a thermal instability, and therefore the results presented here provide evidence for the Gubser-Mitra conjecture in the context of Gauss-Bonnet theory. Due to the non-triviality of the curvature of the background, all the components of the metric perturbation appear in the linearized equations. As it occurs for spherical black holes, these black strings should be obtained as the short distance $r<<\alpha^{1/2}$ limit of the black string solution of Einstein-Gauss-Bonnet theory, which is not know analytically, where $\alpha$ is the Gauss-Bonnet coupling.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We report the existence of unstable, s-wave modes, for black strings in Gauss-Bonnet theory (which is quadratic in the curvature) in seven dimensions.	result 0.93	0.94	0.94	asserted 1.00
s1	This theory admits analytic uniform black strings that in the transverse section are black holes of the same Gauss-Bonnet theory in six dimensions.	background 0.91	0.27	0.04	asserted 1.00
s2	All the components of the perturbation can be written in terms of a single one and its derivatives.	method 0.79	0.75	0.03	asserted 1.00
s3	For this latter component we find a master equation which admits bounded solutions provided the characteristic time of the exponential growth of the perturbation is related with the wave number along the extra direction, as it occurs in General-Relativity.	result 0.93	0.91	0.13	asserted 0.99
s4	It is known that these configurations suffer from a thermal instability, and therefore the results presented here provide evidence for the Gubser-Mitra conjecture in the context of Gauss-Bonnet theory.	interpretation 1.00	0.27	0.26	hedged possibility 0.65
s5	Due to the non-triviality of the curvature of the background, all the components of the metric perturbation appear in the linearized equations.	background 0.54	0.24	0.02	asserted 1.00
s6	As it occurs for spherical black holes, these black strings should be obtained as the short distance $r<<\alpha^{1/2}$ limit of the black string solution of Einstein-Gauss-Bonnet theory, which is not know analytically, where $\alpha$ is the Gauss-Bonnet coupling.	background 0.47	0.17	0.03	asserted 0.66

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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The paper

Original abstract

We report the existence of unstable, s-wave modes, for black strings in Gauss-Bonnet theory (which is quadratic in the curvature) in seven dimensions. This theory admits analytic uniform black strings that in the transverse section are black holes of the same Gauss-Bonnet theory in six dimensions. All the components of the perturbation can be written in terms of a single one and its derivatives. For this latter component we find a master equation which admits bounded solutions provided the characteristic time of the exponential growth of the perturbation is related with the wave number along the extra direction, as it occurs in General-Relativity. It is known that these configurations suffer from a thermal instability, and therefore the results presented here provide evidence for the Gubser-Mitra conjecture in the context of Gauss-Bonnet theory. Due to the non-triviality of the curvature of the background, all the components of the metric perturbation appear in the linearized equations. As it occurs for spherical black holes, these black strings should be obtained as the short distance $r<<\alpha^{1/2}$ limit of the black string solution of Einstein-Gauss-Bonnet theory, which is not know analytically, where $\alpha$ is the Gauss-Bonnet coupling.

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References

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7 arXiv papers cite this in 11 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 · 7 sentences without a confident label

Cites it as support 1 paper

Indeed, static EGB black holes approach static pure GB black holes at large $α$ [ref] .

Einstein-Gauss-Bonnet black strings at large $\alpha$ · Introduction · 0.96

Cites it as background 3 papers

The black string solutions in the Gauss-bonnet gravity in seven dimensions has been discussed in [ref] , and the one in the third order Lovelock gravity in nine dimensions has been studied in [ref] ].

Einstein-Gauss-Bonnet Black Strings at Large $D$ · Introduction · 0.93
[ref] for the related works on this topic.

Boosted Quantum Black Hole and Black String in M-theory, and Quantum Correction to Gregory-Laflamme Instability · Introduction · 0.91
The gravitational stability of the black string and $p$-branes in the presence of a single quadratic or cubic Lovelock term has been studied in [ref] - [ref] , while the effect of quartic corrections coming from M-theory have been explored in [ref] .

Homogeneous Black Strings in Einstein-Gauss-Bonnet with Horndeski hair and beyond · Final remarks · 0.95

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