The Gregory–Laflamme instability.

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Title: The Gregory–Laflamme instability.
Authors: Collingbourne, Sam C.1 (AUTHOR) SC.Collingbourne@ed.ac.uk
Source: International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics. 4/30/2026, Vol. 41 Issue 12, p1-76. 76p.
Subjects: General relativity (Physics), Schwarzschild black holes, Perturbation theory
Abstract: This paper reviews the Gregory–Laflamme instability in higher-dimensional general relativity. This is an linear instability, which grows exponentially, that arises when a black hole is sufficiently extended in one direction to support a long wavelength perturbation. When tracked into the nonlinear regime there is evidence to suggest that this instability gives rise to a violation of the weak cosmic censorship conjecture. The focus of this paper is on how this instability afflicts the Schwarzschild black string and other vacuum black hole solutions. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: This paper reviews the Gregory–Laflamme instability in higher-dimensional general relativity. This is an linear instability, which grows exponentially, that arises when a black hole is sufficiently extended in one direction to support a long wavelength perturbation. When tracked into the nonlinear regime there is evidence to suggest that this instability gives rise to a violation of the weak cosmic censorship conjecture. The focus of this paper is on how this instability afflicts the Schwarzschild black string and other vacuum black hole solutions. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Data: <i>Copyright of International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1142/S0217751X2630005X
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        Text: English
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      – SubjectFull: General relativity (Physics)
        Type: general
      – SubjectFull: Schwarzschild black holes
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      – SubjectFull: Perturbation theory
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              Text: 4/30/2026
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