论文标题

蠕虫具有扭曲的额外尺寸?

Wormholes with a warped extra dimension?

论文作者

Kar, Sayan

论文摘要

我们研究了一个特殊扭曲的额外维度在构建代表洛伦兹虫洞的较高尺寸的示例中的作用。所选的翘曲在很大程度上是受到众所周知的非静态泡沫的启发,尽管我们的空间是静态的,并且在几何上不同。 $ d \ geq 5 $尺寸和其他具有“完全正常”物质应力能量的真空解决方案被解释为可能的洛伦兹虫洞。 $ d \ geq 5 $中的渐近虫洞与“外来物质”,在这类空间中似乎也存在于所有维度。重新审视并讨论了通过双灯芯旋转的虫洞黑洞对应关系。最后,还简要分析了地球运动以及大地一致性的行为,在五个维度,扭曲的,真空虫洞的空间的子类中,还进行了简要分析,目的是获得特征性和特定特性和特定特征,可以帮助我们改善我们对这些地质的理解。

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 $D\geq 5$ dimensions and others (non-asymptotically flat) with `perfectly normal' matter stress energy are interpreted as possible Lorentzian wormholes. Asymptotically flat wormholes in $D\geq 5$ 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.

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