Thin-shell wormholes with non-collapsing dark energy throats connecting flat Minkowski spacetimes

Abstract

This research revisits the thin-shell wormhole connecting two Minkowski spacetimes - originally introduced by Matt Visser. Upon setting a particular timelike hypersurface with a de-sitter-induced line element, the corresponding thin-shell wormhole (TSW) possesses a minimum radius and a uniform surface energy-momentum tensor in the form of dark energy. The bounded from below radius for the throat implies that it does not collapse. The r-tau profile curve of the hypersurface is a Catenary in r - tau plane where r and tau are the radial coordinate and the proper time on the throat, respectively. It is also shown that while the throat is dynamic, the surface energy-momentum tensor of the dark energy is in the form of an effective cosmological constant in the spherically symmetric TSW. The 4- dimensional cylindrically symmetric TSW with a similar throat profile shares the same features as its spherical counterpart, however, its uniform surface energy-momentum tensor does not mimic an effective cosmological constant. The higher-dimensional generalization of the spherically symmetric TSW admits the same properties as in the 4- dimensional one.