2001/10/18 by Chiang-Mei Chen, D.V. Gal’tsov, Dmitri V. Gal'tsov +1
Mathematics · Physics and Astronomy · #Antisymmetric relation #Attractor #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Differential equation #Dilaton #Duality (order theory) #Mathematical analysis #Mathematical physics #Mathematics #Metric (unit) #Order (exchange) #Ordinary differential equation #Physics #Pure mathematics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Space (punctuation) #Supergravity #Supersymmetry #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.65.084004
published as Phys.Rev. D65 (2002) 084004 · 8 pages, 2 figures, revtex4
arxiv created 2001/10/18 · openalex publication_date 2002/03/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate fluxbrane solutions to the Einstein-antisymmetric form-dilaton theory in arbitrary space-time dimensions for a transverse space of cylindrical topology Sk\ifmmode×\else\texttimes\fiRn, corresponding to smeared and unsmeared solutions. A master equation for a single metric function is derived. This is a non-linear second-order ordinary differential equation admitting an analytic solution, singular at the origin, which serves as an attractor for globally regular solutions, whose existence is demonstrated numerically. For all fluxbranes of different levels of smearing the metric function diverges at infinity as the same power of the radial coordinate except for the maximally smeared case, where a global solution is known in closed form and can be obtained algebraically using U duality. The particular cases of F6 and F3 fluxbranes in D=11 supergravity and fluxbranes in types IIA, IIB supergravities are discussed.