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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...
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Published in: | Physical review letters 2006-05, Vol.96 (18), p.181601-181601, Article 181601 |
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Main Authors: | , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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Summary: | 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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ISSN: | 0031-9007 1079-7114 |
DOI: | 10.1103/physrevlett.96.181601 |