Rayleigh-Plateau and Gregory-Laflamme instabilities of black strings
Rayleigh-Plateau and Gregory-Laflamme instabilities of black strings
Many and very general arguments indicate that the event horizon behaves as a stretched membrane. We explore this analogy by associating the Gregory-Laflamme instability of black strings with a classical membrane instability known as the Rayleigh-Plateau instability. We show that the key features of the black string instability can be reproduced using this viewpoint. In particular, we get good agreement for the threshold mode in all dimensions and exact agreement for large spacetime dimensionality. The instability time scale is also well described within this model, as well as the dimensionality dependence. It also predicts that general nonaxisymmetric perturbations are stable. We further argue that the instability of ultraspinning black holes follows from this model.
Cardoso, Vitor
08c1bdef-b56a-4067-ab37-89a9ece74fb7
Dias, Oscar J.C.
f01a8d9b-9597-4c32-9226-53a6e5500a54
12 May 2006
Cardoso, Vitor
08c1bdef-b56a-4067-ab37-89a9ece74fb7
Dias, Oscar J.C.
f01a8d9b-9597-4c32-9226-53a6e5500a54
Cardoso, Vitor and Dias, Oscar J.C.
(2006)
Rayleigh-Plateau and Gregory-Laflamme instabilities of black strings.
Physical Review Letters, 96 (18), [181601].
(doi:10.1103/PhysRevLett.96.181601).
Abstract
Many and very general arguments indicate that the event horizon behaves as a stretched membrane. We explore this analogy by associating the Gregory-Laflamme instability of black strings with a classical membrane instability known as the Rayleigh-Plateau instability. We show that the key features of the black string instability can be reproduced using this viewpoint. In particular, we get good agreement for the threshold mode in all dimensions and exact agreement for large spacetime dimensionality. The instability time scale is also well described within this model, as well as the dimensionality dependence. It also predicts that general nonaxisymmetric perturbations are stable. We further argue that the instability of ultraspinning black holes follows from this model.
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e-pub ahead of print date: 8 May 2006
Published date: 12 May 2006
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©2006 American Physical Society
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Local EPrints ID: 468101
URI: http://eprints.soton.ac.uk/id/eprint/468101
PURE UUID: be51d8d0-d7ac-4ae2-b774-dfd687fd9fc0
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Date deposited: 02 Aug 2022 17:05
Last modified: 17 Mar 2024 03:35
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Author:
Vitor Cardoso
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