2016/08/31 by K. A. Bronnikov, M. V. Skvortsova
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmological constant #Cosmology and Gravitation Theories #Extra dimensions #General relativity #Massless particle #Noncommutative and Quantum Gravity Theories #Scalar (mathematics) #Scalar field #Subspace topology #Wormhole #astro-ph.CO #gr-qc #hep-th
paper · pdf · doi:10.1134/s0202289316040058
published as Grav. Cosmol. 22 (4), 316-322 (2016) · 8 pages, 1 figure of 2 parts. Minor corrections
openalex created_date 2016/09/16 · openalex publication_date 2016/10/01 · arxiv created 2016/10/14 · arxiv updated 2016/12/07 · openalex updated_date 2026/08/05
In 6D general relativity with a scalar field as a source of gravity, a new type of static wormhole solutions is presented: such wormholes connect our universe with a small 2D extra subspace with a universe where this extra subspace is large, and the whole space-time is effectively 6-dimensional. We consider manifolds with the structure M 0 × M 1 × M 2 , where M 0 is 2D Lorentzian space-time while each of M 1,2 can be a 2-sphere or a 2-torus. After selecting possible asymptotic behaviors of the metric functions compatible with the field equations, we give two explicit examples of wormhole solutions with spherical symmetry in our space-time and toroidal extra dimensions. In one example, with a massless scalar field (it is a special case of a well-known more general solution), the extra dimensions have a large constant size at the “far end”; the other example contains a nonzero potential V ( φ ) which provides a 6D anti-de Sitter asymptotic, where all spatial dimensions are infinite.