2006/08/31 by Evgeny Sorkin · 6 citations
Engineering · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Fluid Dynamics and Turbulent Flows #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.74.104027
published as Phys.Rev.D74:104027,2006 · 32pp, 17 figs. v2: minor corrections to match the published version
openalex publication_date 2006/11/22 · arxiv created 2006/11/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The nonuniform black-strings branch, which emerges from the critical Gregory-Laflamme string, is numerically constructed in dimensions 6\ensuremath≤D\ensuremath≤11 and extended into the strongly nonlinear regime. All the solutions are more massive and less entropic than the marginal string. We find the asymptotic values of the mass, the entropy and other physical variables in the limit of large horizon deformations. By explicit metric comparison we verify that the local geometry around the waist of our most nonuniform solutions is conelike with less than 10% deviation. We find evidence that in this regime the characteristic length scale has a power-law dependence on a parameter along the branch of the solutions, and estimate the critical exponent.