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arXiv 1809.04081hep-thgr-qc
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AdS中的变形黑洞

Deforming black holes in AdS

Gary T. Horowitz, Jorge E. Santos, Chiara Toldo

摘要:

我们调查如何在边界度规的变化影响的形状的AdS黑洞。我们的大部分工作都是基于AdS C度量的分析。研究了渐近双曲和紧致黑洞。最近已经表明,AdS C-度规包含高度变形的黑洞的配置,我们表明,这些变形通常是类似的变形的边界度规的结果。然而,相当令人惊讶的是,我们也发现的情况下,视界是不敏感的某些大的变化,在边界几何。这促使寻找一个新的家庭的黑洞解具有相同的边界几何形状,其中的视界不响应于边界的变化。我们数值构造这些解决方案,我们(数值)探讨如何地平线响应边界变形取决于温度。

英文摘要:

We investigate how changes in the boundary metric affect the shape of AdS black holes. Most of our work is analytic and based on the AdS C-metric. Both asymptotically hyperbolic and compact black holes are studied. It has recently been shown that the AdS C-metric contains configurations of highly deformed black holes, and we show that these deformations are usually the result of similar deformations of the boundary metric. However, quite surprisingly, we also find cases where the horizon is insensitive to certain large changes in the boundary geometry. This motivates the search for a new family of black hole solutions with the same boundary geometry in which the horizon does respond to the changes in the boundary. We numerically construct these solutions and we (numerically) explore how the horizon response to boundary deformations depends on temperature.

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