论文标题

关键岛屿

Critical Islands

论文作者

Krishnan, Chethan

论文摘要

我们讨论了带有消失的宇宙常数的黑洞的双重外传理。它涉及在广告中计算ryu-takayanagi表面在广告黑色漏斗空间中,该空位附在braneworld黑洞中,$ critical $ randall-sundrum ii型号。关键的脑植物具有无质量的吸引力的优点。当Braneworld是一个宇宙学黑洞与脱合,大$ n $ MATTER相互作用时,我们的方法应该很有用。在较高的维度中,明确的漏斗指标必须以数值构建 - 但是基于几何形状的一般结构,我们对人们可能会发现半古典岛的位置进行了自然的猜测。在一个已知玩具分析黑漏斗的三维示例中,我们可以通过直接计算来检查我们的猜测。我们认为,这可以通过为“宇宙岛屿”找到有力的证据来解决这些Braneworld系统中信息悖论的版本。 brane上的Ryu-takayanagi表面和相关的紫外线切割,扮演自然角色。

We discuss a doubly-holographic prescription for black holes in braneworlds with a vanishing cosmological constant. It involves calculating Ryu-Takayanagi surfaces in AdS black funnel spacetimes attached to braneworld black holes in the $ critical$ Randall-Sundrum II model. Critical braneworlds have the virtue of having massless gravitons. Our approach should be useful when the braneworld is a cosmological black hole interacting with deconfined, large-$N$ matter. In higher dimensions, explicit funnel metrics will have to be constructed numerically -- but based on the general structure of the geometry, we present a natural guess for where one might find the semi-classical island. In a 3-dimensional example where a toy analytic black funnel is known, we can check our guess by direct calculation. We argue that this resolves a version of the information paradox in these braneworld systems, by finding strong evidence for "cosmological islands". Comoving Ryu-Takayanagi surfaces and associated UV cut-offs on the brane, play natural roles.

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