We investigate the role of a specifically warped extra dimension in constructing examples of higher dimensional spacetimes representing Lorentzian wormholes. The warping chosen is largely inspired by the well-known non-static Witten bubble of nothing, though our spacetimes are static and geometrically different. Vacuum solutions in \(D\ge 5\) dimensions and others (non-asymptotically flat) with ‘perfectly normal’ matter stress energy are interpreted as possible Lorentzian wormholes. Asymptotically flat wormholes in \(D\ge 5\) with ‘exotic matter’ and within this class of spacetimes also appear to exist in all dimensions. A wormhole-black hole correspondence via double Wick rotation is revisited and discussed. Finally, geodesic motion as well as the behaviour of geodesic congruences, in the sub-class of five dimensional, warped, vacuum wormhole spacetimes is also briefly analysed, with the aim of obtaining characteristic properties and specific signatures which may help improve our understanding of these geometries.

我们研究了一个特别扭曲的额外维度在构建代表洛伦兹虫洞的高维时空示例中的作用。所选择的翘曲很大程度上受到了著名的非静态维滕虚无气泡的启发，尽管我们的时空是静态的并且在几何上是不同的。\(D\ge 5\)维度的真空解和其他具有“完全正常”物质应力能量的（非渐近平坦）解被解释为可能的洛伦兹虫洞。\(D\ge 5\)中的渐近扁平虫洞与“奇异物质”并在这一类时空中似乎也存在于所有维度。重新审视和讨论了通过双威克旋转的虫洞-黑洞对应关系。最后，还简要分析了五维、扭曲、真空虫洞时空子类中的测地线运动以及测地线全等的行为，目的是获得特征属性和特定特征，这可能有助于提高我们对这些时空的理解几何形状。