High Energy Physics - Theory · arXiv:hep-th/0602001 v2 · submitted 1 Feb 2006
Origin of black string instability
The paper says
“It is shown that for each type of perturbations there is no normalizable negative (unstable) modes, apart from the exceptional mode known as s-wave perturbation which is exactly the GL mode.”
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The paper
Abstract
It is argued that many nonextremal black branes exhibit a classical Gregory-Laflamme (GL) instability. Why does the universal instability exist? To find an answer to this question and explore other possible instabilities, we study stability of black strings for all possible types of gravitational perturbation. The perturbations are classified into tensor-, vector-, and scalar-types, according to their behavior on the spherical section of the background metric. The vector and scalar perturbations have exceptional multipole moments, and we have paid particular attention to them. It is shown that for each type of perturbations there is no normalizable negative (unstable) modes, apart from the exceptional mode known as s-wave perturbation which is exactly the GL mode. We discuss the origin of instability and comment on the implication for the correlated-stability conjecture.
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abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 1.00
What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.19 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.29 · mentions code or data availability 0.02
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v2). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| It is argued that many nonextremal black branes exhibit a classical Gregory-Laflamme (GL) instability. | background 1.00 | 0.15 | 0.09 | hedged possibility 0.48 |
| Why does the universal instability exist? | gap 0.82 | 0.05 | 0.02 | unclear 0.97 |
| To find an answer to this question and explore other possible instabilities, we study stability of black strings for all possible types of gravitational perturbation. | contribution 0.94 | 0.83 | 0.04 | asserted 0.60 |
| The perturbations are classified into tensor-, vector-, and scalar-types, according to their behavior on the spherical section of the background metric. | method 0.99 | 0.73 | 0.02 | asserted 0.99 |
| The vector and scalar perturbations have exceptional multipole moments, and we have paid particular attention to them. | contribution 0.51 | 0.84 | 0.04 | asserted 0.93 |
| It is shown that for each type of perturbations there is no normalizable negative (unstable) modes, apart from the exceptional mode known as s-wave perturbation which is exactly the GL mode. | result 1.00 | 0.92 | 0.80 | asserted 1.00 |
| We discuss the origin of instability and comment on the implication for the correlated-stability conjecture. | interpretation 1.00 | 0.73 | 0.08 | unclear 0.91 |
What kind of paper the classifier reports this is: theoretical result 0.99 · evidence from proof or derivation 0.96
What was examined, and what was not
Sources read
- arXiv listing abstract v2
Not examined
- full text
- figures and tables
- references and citing sentences
- relations to other papers
Levels run
- P abstract
Not run
- S sections
- T body sentences
- C citations
- R cross-paper relations
How the labels were made
Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 5,477 input tokens, $0.0002 reported.
Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. This record as JSON
Cited by 5 Pith papers
Reviewed papers on Pith that cite this one. The full citation record
- Massive spin-2 fields on black hole spacetimes: Instability of the Schwarzschild and Kerr solutions and bounds on the graviton mass gr-qc · Apr 2013
- Black Holes as Lumps of Fluid hep-th · Nov 2008
- Rayleigh-Plateau and Gregory-Laflamme instabilities of black strings hep-th · Feb 2006
- Ultraspinning instability of rotating black holes hep-th · Jun 2010
- Instabilities of Black Strings and Branes hep-th · Jan 2007
How the literature uses it
8 arXiv papers cite this in 14 sentences
Papers citing it · 10 sentences without a confident label
Cites it as support 1 paper
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The Gregory-Laflamme instability only affects spherically-symmetric ($l=0$) modes [ref] , so we expect the rest of the sector to be stable.
Massive spin-2 fields on black hole spacetimes: Instability of the Schwarzschild and Kerr solutions and bounds on the graviton mass · Instability of black holes against spherically symmetric fluctuations · 0.96
Cites it as background 3 papers
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This is known as the Gregory-Laflamme instability [ref] , which in turn is the analog of a Rayleigh-Plateau instability of fluids [ref] .
Massive spin-2 fields on black hole spacetimes: Instability of the Schwarzschild and Kerr solutions and bounds on the graviton mass · Massive gravitons and the Gregory-Laflamme instability · 0.95
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This is known as the Gregory-Laflamme instability [ref] , which in turn is the analog of a Rayleigh-Plateau instability of fluids [ref] .
Fundamental fields around compact objects: Massive spin-2 fields, Superradiant instabilities and Stars with dark matter cores · Introduction · 0.85
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It is well known that the Kerr brane, like all black strings and black branes, is also subject to the Gregory-Laflamme (GL) instability [ref] (see also Ref. [ref] , the review [ref] and references therein).
Superradiant instability of the Kerr brane · Superradiant and Gregory-Laflamme instabilities of the Kerr brane · 0.93
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