Liquid bridges and black strings in higher dimensions

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dc.creatorMiyamoto, Umpei
dc.creatorMaeda, Kei-ichi
dc.date2008-03-20
dc.date2008-05-01
dc.date.accessioned2026-07-07T11:33:17Z
dc.date.available2026-07-07T11:33:17Z
dc.descriptionAnalyzing 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., {\it 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 $\to$ NUB $\to$ SD. This gives an important indication for a transition in the black hole-black string system.
dc.description8 pages, 4 figures, 1 table; v2 reference added
dc.identifierhttps://arxiv.org/abs/0803.3037
dc.identifierhttp://arxiv.org/abs/0803.3037
dc.identifierPhys.Lett.B664:103-106,2008
dc.identifierdoi:10.1016/j.physletb.2008.05.010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/197837
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectMathematical Physics
dc.subjectFluid Dynamics
dc.titleLiquid bridges and black strings in higher dimensions
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