On the fate of black string instabilities: An Observation

Details On the fate of black string instabilities: An Observation On the fate of black string instabilities: An Observation

2005-04-05

arxiv.org/abs/hep-th/0504045v2

Phys.Rev. D71 (2005) 127504

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, RevTex, 1 figure, references added

Scientific paper

10.1103/PhysRevD.71.127504

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.

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