论文标题

重力波,全息图和黑洞微晶格

Gravitational Waves, Holography, and Black Hole Microstates

论文作者

Dimitrov, Vasil, Lemmens, Tom, Mayerson, Daniel R., Min, Vincent S., Vercnocke, Bert

论文摘要

黑洞的近野树区域的重力波观测可以深入了解重力的量子性质。特别是,重力波回声已被确定为地平线附近量子重力启发的结构的潜在特征。在本文中,我们将这种可观察的物品与弦理论和全息图中的黑洞微晶格的语言联系起来。为此,我们提出了一个玩具模型,描述了五维黑洞的广告$ _3 $近摩恩区域,灵感来自Solodukhin的早期作品。该模型捕获了最近构建的微晶几何形状的关键特征,并允许我们进行三个观察结果。首先,我们将ADS/CFT的语言,尤其是全息延迟的两点相关器与有效的参数建模,该参数模拟了在平面引力波文献中使用的结构。其次,我们发现,对于典型的微晶格,微结构的“盖”指数靠近地平线,使其是对黑洞几何形状的有效亚平原校正,尽管Microstate几何本身是经典的。第三,使用几何形状上的微型典型集合平均值,我们发现支持黑洞的典型量子微晶体中的重力波回声振幅被黑洞熵置于指数抑制。

Gravitational wave observations of the near-horizon region of black holes lend insight into the quantum nature of gravity. In particular, gravitational wave echoes have been identified as a potential signature of quantum gravity-inspired structure near the horizon. In this paper, we connect such observables to the language of black hole microstates in string theory and holography. To that end, we propose a toy model describing the AdS$_3$ near-horizon region of five-dimensional black holes, inspired by earlier work of Solodukhin. This model captures key features of recently constructed microstate geometries, and allows us to make three observations. First, we relate the language of AdS/CFT, in particular the holographic retarded two-point correlator, to effective parameters modeling the structure that are used in flat space gravitational wave literature. Second, we find that for a typical microstate, the `cap' of the microstructure is exponentially close to the horizon, making it an effective sub-Planckian correction to the black hole geometry, although the microstate geometry itself is classical. Third, using a microcanonical ensemble average over geometries, we find support for the claim that the gravitational wave echo amplitude in a typical quantum microstate of the black hole is exponentially suppressed by the black hole entropy.

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