Phys. Rev. Lett. 87, 131301 (2001) [4 pages]Fate of the Black String InstabilityReceived 14 June 2001; published 5 September 2001 Gregory and Laflamme showed that certain nonextremal black strings (and p-branes) are unstable to linearized perturbations. It is widely believed that this instability will cause the black string horizon to classically pinch off and then quantum mechanically separate, resulting in higher dimensional black holes. We argue that this cannot happen. Under very mild assumptions, classical event horizons cannot pinch off. Instead, they settle down to new static black string solutions which are not translationally invariant along the string. © 2001 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.87.131301
DOI:
10.1103/PhysRevLett.87.131301
PACS:
04.70.Dy, 11.25.-w
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