On the fate of black string instabilities: An Observation

Abstract

Gregory and Laflamme (hep-th/9301052) have argued that an instability causes the Schwarzschild black string to break up into disjoint black holes. On the other hand, Horowitz and Maeda (arXiv:hep-th/0105111) derived bounds on the rate at which the smallest sphere can pinch off, showing that, if it happens at all, such a pinch-off can occur only at infinite affine parameter along the horizon. An interesting point is that, if a singularity forms, such an infinite affine parameter may correspond to a finite advanced time -- which is in fact a more appropriate notion of time at infinity. We argue below that pinch-off at a finite advanced time is in fact a natural expectation under the bounds derived by Horowitz and Maeda.

arXiv comment4 pages, RevTex, 1 figure, references added

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• The Phase Transition between Caged Black Holes and Black Strings - A Review
• Instabilities of Black Strings and Branes
• Dynamics and Stability of Black Rings
• The Large D Limit of Einstein's Equations
• On the existence and dynamics of braneworld black holes
• Quantum quench in matrix models: Dynamical phase transitions, Selective equilibration and the Generalized Gibbs Ensemble
• New stable phase of non-uniform charged black strings
• A black hole instability in five dimensions?
• Particle Dynamics Around the Black String
• Higher Dimensional Generalizations of the Kerr Black Hole
• Regular Schwarzschild-like spacetime embedded in a five dimensional bulk