The Gregory–Laflamme instability
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I give a brief review of the Gregory-Laflamme instability as originally found for a 5-dimensional black string. This is a chapter of the book "Black Holes in Higher Dimensions" to be published by Cambridge University Press (editor: G. Horowitz)
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For fixed mass M, black strings have entropy scaling S_BS ∼ M^2 while D=5 black holes have entropy scaling S_BH ∼ M^2 sqrt(R/M).
“For a fixed mass M , black strings have an entropy that scales like S BS ∼ M 2 while D = 5 black holes have an entropy that scales like S BH ∼ M 2 √ R/M [49].”
From Gravitational memory and compact extra dimensions (2022) · cites this paper as [49]
Section 1.3 compares black-hole and black-string entropies at equal mass and says the black hole becomes thermodynamically preferred when the compact dimension’s length L is sufficiently large. But the equations giving the entropies are not decoded in our copy, so it does not verify either stated M² scaling or the √(R/M) factor. (LLM, conf=0.74)
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Research works printed but not linked: 9
- [3][3] R. C. Myers and M. J. Perry, 'Black Holes in Higher Dimensional SpaceTimes,' Annals Phys. 172 , 304 (1986). -
- [4][4] R. Gregory and R. Laflamme, 'Black strings and p-branes are unstable,' Phys. Rev. Lett. 70 , 2837 (1993) [arXiv:hep-th/9301052]. R. Gregory and R. Laflamme, 'The Instability of charged black strings and p-branes,' Nucl. Phys. B 428 , 399 (1994) [arXiv:hep-th/9404071]. R. Gregory and R. Laflamme, 'Evidence for stability of extremal black pbranes,' Phys. Rev. D 51 , 305 (1995) [arXiv:hep-th/9410050]. - · arXiv
- [5][5] G. J. Galloway and R. Schoen, 'A Generalization of Hawking's black hole topology theorem to higher dimensions,' Commun. Math. Phys. 266 , 571 (2006) [arXiv:gr-qc/0509107]. - · arXiv
- [6][6] R. Emparan and H. S. Reall, 'A Rotating black ring solution in fivedimensions,' Phys. Rev. Lett. 88 , 101101 (2002) [arXiv:hep-th/0110260]. - · arXiv
- [7][7] R. Emparan, 'Blackfolds,' arXiv:1106.2021 [hep-th]. R. Emparan, T. Harmark, V. Niarchos and N. A. Obers, 'Blackfolds in Supergravity and String Theory,' arXiv:1106.4428 [hep-th]. - · arXiv
- [8][8] H. Kudoh and T. Wiseman, 'Properties of Kaluza-Klein black holes,' Prog. Theor. Phys. 111 , 475 (2004) [arXiv:hep-th/0310104]. T. Harmark and N. A. Obers, 'Phase structure of black holes and strings on cylinders,' Nucl. Phys. B 684 , 183 (2004) [arXiv:hep-th/0309230]. B. Kol, 'The Phase transition between caged black holes and black strings: A Review,' Phys. Rept. 422 , 119 (2006) [arXiv:hep-th/0411240]. - · arXiv
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- [12][12] G. T. Horowitz and K. Maeda, 'Fate of the black string instability,' Phys. Rev. Lett. 87 , 131301 (2001) [arXiv:hep-th/0105111]. D. Marolf, 'On the fate of black string instabilities: An Observation,' Phys. Rev. D 71 , 127504 (2005) [arXiv:hep-th/0504045]. - · arXiv
- [13][13] L. Lehner and F. Pretorius, 'Black Strings, Low Viscosity Fluids, and Violation of Cosmic Censorship,' Phys. Rev. Lett. 105 , 101102 (2010) [arXiv:1006.5960 [hep-th]]. · arXiv
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Gravitational memory and compact extra dimensions
Ferko, C., Satishchandran, G., & Sethi, S. (2022) · Physical Review D · doi:10.1103/physrevd.105.024072 · Cited by 20 · see citing works
- Authors
- Gregory, R.
- Affiliations
- Durham University (GB)
- Corresponding author
- Gregory, Ruth
- ORCID
- Gregory, Ruth
- Venue
- Black Holes in Higher Dimensions
- Publisher
- Cambridge University Press
- Published
- 2012-04-19
- Pages
- 29-43
- OpenAlex
- W1916915200
- Cited by
- 25
- References
- 0
- Citations by year
- 2026: 3 · 2025: 1 · 2023: 1 · 2022: 4 · 2021: 3 · 2020: 2 · 2019: 4 · 2018: 1 · 2017: 1 · 2016: 1 · 2015: 1 · 2014: 2
- FWCI
- 5.84
- Type
- book chapter
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Cambridge University Press eBooks (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Astrophysical Phenomena and Observations
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Pulsars and Gravitational Waves Research
- Keywords
- Gregory-Laflamme instability, black strings, higher-dimensional black holes, black hole stability, gravitational collapse
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