Liquid bridges and black strings in higher dimensions

9Citations
Citations of this article
6Readers
Mendeley users who have this article in their library.

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. © 2008 Elsevier B.V. All rights reserved.

Cite

CITATION STYLE

APA

Miyamoto, U., & Maeda, K. ichi. (2008). Liquid bridges and black strings in higher dimensions. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 664(1–2), 103–106. https://doi.org/10.1016/j.physletb.2008.05.010

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free