作为弱隔离地平线的空无穷大

Abhay Ashtekar, Simone Speziale
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引用次数: 0

摘要

空无穷(Scri)是近似平坦物理时空的彭罗斯共形完成的边界。我们首先指出,Scri 是一个可怕的孤立视界(WIH),然后证明其熟悉的性质可以从一般的 WIH 框架中推导出来。这似乎很令人吃惊,因为与黑洞(和宇宙学)WIH 相关的物理学与在 Scri 提取的非常不同。我们的研究表明,这些差异可以直接追溯到 Scri 是共形完备中的 WIH,而不是物理时空。特别是,Scri 的 BMS 群源于 WIH 的对称群。我们还引入了一个统一的程序,以得出与 Scri 的 BMS 对称相关的流和电荷,以及与黑洞(和宇宙学)视界相关的流和电荷。这一程序不同于文献中常用的程序,其新颖要素本身似乎就很有趣。事实上,黑洞(和宇宙学)视界与 Scri 存在着一个统一的数学框架,这为探索强场区视界动力学与无穷远波形之间的关系铺平了道路。它还有助于分析量子引力中的黑洞蒸发。
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Null Infinity as a Weakly Isolated Horizon
Null infinity (Scri) arises as a boundary of the Penrose conformal completion of an asymptotically flat physical space-time. We first note that Scri is a weakly isolated horizon (WIH), and then show that its familiar properties can be derived from the general WIH framework. This seems quite surprising because physics associated with black hole (and cosmological) WIHs is very different from that extracted at Scri. We show that these differences can be directly traced back to the fact that Scri is a WIH in the conformal completion rather than the physical space-time. In particular, the BMS group at Scri stems from the symmetry group of WIHs. We also introduce a unified procedure to arrive at fluxes and charges associated with the BMS symmetries at Scri and those associated with black hole (and cosmological) horizons. This procedure differs from those commonly used in the literature and its novel elements seem interesting in their own right. The fact that is there is a single mathematical framework underlying black hole (and cosmological) horizons and Scri paves the way to explore the relation between horizon dynamics in the strong field region and waveforms at infinity. It should also be useful in the analysis of black hole evaporation in quantum gravity.
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