  We describe the behavior of 5-dimensional black strings, subject to the
Gregory-Laflamme instability. Beyond the linear level, the evolving strings
exhibit a rich dynamics, where at intermediate stages the horizon can be
described as a sequence of 3-dimensional spherical black holes joined by black
string segments. These segments are themselves subject to a Gregory-Laflamme
instability, resulting in a self-similar cascade, where ever-smaller satellite
black holes form connected by ever-thinner string segments. This behavior is
akin to satellite formation in low-viscosity fluid streams subject to the
Rayleigh-Plateau instability. The simulation results imply that the string
segments will reach zero radius in finite asymptotic time, whence the classical
space-time terminates in a naked singularity. Since no fine-tuning is required
to excite the instability, this constitutes a generic violation of cosmic
censorship.

High Energy Physics - Theory;General Relativity and Quantum Cosmology