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arXiv 2204.08488hep-th
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Kerr-de Sitter时空中的岛屿及其平坦极限

Islands in Kerr-de Sitter spacetime and their flat limit

Sanam Azarnia, Reza Fareghbal

摘要:

本文利用量子极值岛方法研究了三维Kerr-de Sitter时空中的信息佯谬。为此,我们耦合一个辅助的平浴系统到这个时空中的类时奇异性和测量霍金辐射的熵在其渐近区域的引力是弱的。我们证明了在辐射纠缠楔中加入岛区会使其熵服从Page曲线。岛的边界即量子极值面位于宇宙视界之外直接连接到浴池的区域。在Kerr-de Sitter空间时中,从岛的位置及其相关计算出发,取平空间极限,得到了平空间宇宙学(FSC)岛、扰频时间和Page时间。我们对纯德西特时空重复同样的计算,并表明我们的设置忽略了反反应的影响,也导致了宇宙学视界外的量子极值表面。我们计算了加扰时间,证实了纯德西特时空是一个快速加扰器的观点。

英文摘要:

We use quantum extremal island method to study the information paradox on certain cosmological setups known as three dimensional Kerr-de Sitter spacetimes. To do so, we couple an auxiliary flat bath system to this spacetime in timelike singularity and measure entropy of hawking radiation in its asymptotic regions where the gravity is weak. We show that adding island regions to the entanglement wedge of radiation causes its entropy to obey Page curve. The boundary of island i.e. quantum extremal surface is located outside the cosmological horizon in the region connected directly to the bath. Taking the flat-space limit from the location of island and its related calculation in the Kerr-de Sitter sapcetime results in the flat-space cosmology (FSC) island, scrambling time and also Page time that were obtained in our previous paper. We repeat the same calculation for the pure de Sitter spacetime and show that our setup which neglects the effect of backreaction, leads also to a quantum extremal surface outside the cosmological horizon. We calculate the scrambling time and confirm the idea that pure de Sitter spacetime is a fast scrambler.

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