Liquid bridges and black strings in higher dimensions

Umpei Miyamoto, Kei ichi Maeda

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

Analyzing a capillary minimizing problem for a higher-dimensional extended fluid, we find that there exist startling similarities between the black hole-black string system (the Gregory-Laflamme instability) and the liquid drop-liquid bridge system (the Rayleigh-Plateau instability), which were first suggested by a perturbative approach. In the extended fluid system, we confirm the existence of the critical dimension above which the non-uniform bridge (NUB, i.e., Delaunay unduloid) serves as the global minimizer of surface area. We also find a variety of phase structures (one or two cusps in the volume-area phase diagram) near the critical dimension. Applying a catastrophe theory, we predict that in the 9-dimensional (9D) space and below, we have the first order transition from a uniform bridge (UB) to a spherical drop (SD), while in the 10D space and above, we expect the transition such that UB → NUB → SD. This gives an important indication for a transition in the black hole-black string system.

Original languageEnglish
Pages (from-to)103-106
Number of pages4
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume664
Issue number1-2
DOIs
Publication statusPublished - 2008 Jun 12

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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