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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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Bibliographic Details
Published in:Physical review letters 2006-05, Vol.96 (18), p.181601-181601, Article 181601
Main Authors: Cardoso, Vitor, Dias, Oscar J C
Format: Article
Language:English
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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.
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.96.181601