Wormholes leading to extra dimensions
K.A. Bronnikov, M.V. Skvortsova

TL;DR
This paper introduces new static wormhole solutions in 6D general relativity with scalar fields, connecting our universe to a higher-dimensional space with varying sizes of extra dimensions, including explicit examples with different asymptotics.
Contribution
It presents novel 6D wormhole solutions with scalar fields, connecting our universe to a higher-dimensional space with different asymptotic behaviors and explicit metric examples.
Findings
Wormholes connect our universe to a 6D space with small or large extra dimensions.
Explicit solutions with spherical symmetry and toroidal extra dimensions are provided.
Different asymptotic behaviors include constant large extra dimensions and anti-de Sitter infinity.
Abstract
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 M0 x M1 x M2 , where M0 is 2D Lorentzian space-time while each of M1 an M2 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…
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