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arXiv · 1309.2058

Wormholes in higher dimensional space-time: Exact solutions and their linear stability analysis

Takashi Torii·Hisa-aki Shinkai
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Abstract

We derive the simplest traversable wormhole solutions in $n$-dimensional general relativity, assuming static and spherically symmetric spacetime with a ghost scalar field. This is the generalization of the Ellis solution (or the so-called Morris-Thorne's traversable wormhole) into a higher-dimension. We also study their stability using linear perturbation analysis. We obtain the master equation for the perturbed gauge-invariant variable and search their eigenvalues. Our analysis shows that all higher-dimensional wormholes have an unstable mode against the perturbations with which the throat radius is changed. The instability is consistent with the earlier numerical analysis in four-dimensional solution.

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Takashi Torii, Hisa-aki Shinkai. 2013-09-09. Wormholes in higher dimensional space-time: Exact solutions and their linear stability analysis. https://doi.org/10.1103/physrevd.88.064027

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