Wormhole in higher-dimensional space-time

Abstract

We introduce our recent studies on wormhole, especially its stability aspect in higher-dimensional space-time both in general relativity and in Gauss-Bonnet gravity. We derived the Ellis-type wormhole solution in n-dimensional general relativity, and found existence of an unstable mode in its linear perturbation analysis. We also evolved it numerically in dualnullcoordinate system, and confirmed its instability. The wormhole throat will change into black hole horizons for the input of the (relatively) positive energy, while it will change into inflationary expansion for the (relatively) negative energy input. If we add Gauss-Bonnet terms (higher curvature correction terms in gravity), then wormhole tends to expand (or change to black hole) if the coupling constant α is positive (negative), and such bifurcation of the throat horizon is observed earlier in higher dimension.