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A note on 4-dimensional traversable wormholes and energy conditions in higher dimensions

W. F. Kao·Chopin Soo
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Abstract

We show explicitly that traversable wormholes requiring exotic matter in 4-dimensions nevertheless have acceptable stress-tensors obeying reasonable energy conditions in higher dimensions if the wormholes are regarded as being embedded in higher dimensional space-times satisfying Einstein's field equations. From the 4-dimensional perspective, the existence of higher dimensions may thus facilitate wormhole and time-machine constructions through access to "exotic matter".

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W. F. Kao, Chopin Soo. 2003-06-02. A note on 4-dimensional traversable wormholes and energy conditions in higher dimensions. https://arxiv.org/abs/gr-qc/0306004

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