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首页> 外文期刊>Physical review, D >Traversable wormholes in five-dimensional Lovelock theory
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Traversable wormholes in five-dimensional Lovelock theory

机译:五维洛夫洛克理论中的可穿越虫洞

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摘要

In general relativity, traversable wormholes are possible provided they do not represent shortcuts in the spacetime. Einstein equations, together with the achronal averaged null energy condition, demand to take longer for an observer to go through the wormhole than through the ambient space. This forbids wormholes from connecting two distant regions in the space. The situation is different when higher-curvature corrections are considered. Here, we construct a traversable wormhole solution connecting two asymptotically flat regions, otherwise disconnected. This geometry is an electrovacuum solution to the Lovelock theory of gravity coupled to an Abelian gauge field. The electric flux suffices to support the wormhole throat and to stabilize the solution. In fact, we show that, in contrast to other wormhole solutions previously found in this theory, the one constructed here turns out to be stable under scalar perturbations. We also consider wormholes in anti–de Sitter (AdS). We present a protection argument showing that, while stable traversable wormholes connecting two asymptotically locally AdS 5 spaces do exist in the higher-curvature theory, the region of the parameter space where such solutions are admitted lies outside the causality bounds coming from AdS / CFT .
机译:从广义相对论来看,只要它们不代表时空的捷径,就有可能遍历虫洞。爱因斯坦方程,以及非平均时间平均零能量条件,要求观察者穿过虫洞的时间比穿过周围空间的时间更长。这禁止虫洞连接空间中的两个遥远区域。当考虑更高曲率的校正时,情况会有所不同。在这里,我们构造了一个可遍历虫洞解决方案,该解决方案将两个渐近平坦的区域连接在一起,否则将它们断开。这种几何形状是洛夫洛克重力理论与阿贝尔规范场耦合的电真空解决方案。电通量足以支撑虫洞的喉咙并稳定溶液。实际上,我们证明,与以前在该理论中发现的其他虫洞解决方案相比,此处构造的虫洞解决方案在标量扰动下证明是稳定的。我们还考虑了Anti-de Sitter(AdS)中的虫洞。我们提出一个保护论据,表明虽然在高曲率理论中确实存在连接两个渐近局部AdS 5空间的稳定的可穿越蠕虫洞,但接受这种解的参数空间区域位于AdS / CFT的因果关系之外。

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