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The endpoint of the Gregory-Laflamme instability of black strings revisited

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arxiv 2210.13501 v2 pith:QAIZZJ2D submitted 2022-10-24 hep-th

Pau Figueras , Tiago França , Chenxia Gu , Tomas Andrade This is my paper · ORCID
classification hep-th
keywords blackstringsendpointinstabilitydifferentgregory-laflammehorizonaround
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We reproduce and extend the previous studies of Lehner and Pretorius of the endpoint of the Gregory-Laflamme instability of black strings in five space-time dimensions. We consider unstable black strings of fixed thickness and different lengths, and in all cases we confirm that at the intermediate stages of the evolution the horizon can be interpreted as a quasistationary self-similar sequence of black strings connecting spherical black holes on different scales. However, we do not find any evidence for a global timescale relating subsequent generations. The endpoint of the instability is the pinch off of the horizon in finite asymptotic time, thus confirming the violation of the weak cosmic censorship conjecture around black string spacetimes.

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