Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-02-02
Phys.Rev.Lett.96:181601,2006
Physics
High Energy Physics
High Energy Physics - Theory
4 pages, 2 Figures. RevTex4. v2: Added section discussing the existence of a critical dimension also in the fluid model. v3: A
Scientific paper
10.1103/PhysRevLett.96.181601
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 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 timescale is also well described within this model, as well as the dimensionality dependence. We conjecture that general non-axisymmetric perturbations are stable. We further argue that the instability of ultra-spinning black holes follows from this model.
Cardoso Vitor
Dias Oscar J. C.
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