News versus information
News versus information
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DOI：
10.1088/1361-6382/ab3c1e
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发表时间：
2019-04
影响因子：
3.5
通讯作者：
S. Hollands;A. Ishibashi
中科院分区：
文献类型：
--
作者：
S. Hollands;A. Ishibashi
研究了渐近平坦稳态黑洞时空中线性化量子引力中真空态与相干态之间的相对熵。将Casini等人和Longo的最新结果与Raychaudhuri方程相结合，得到了如下结果：设是与一个区域相关联的可观测量的代数，该区域是时空内部某个紧集的因果未来。设S是关于这个代数的相对熵，A是由区域定义的视界截面的面积，在引力摄动中计算到二阶。如果该区域通过Killing参数t进行时间平移，则F是朝向该区域未来发射的引力/物质辐射（积分平方新闻张量）的通量。
We consider the relative entropy between the vacuum state and a coherent state in linearized quantum gravity around an asymptotically flat stationary black hole spacetime. Combining recent results by Casini et al and Longo with the Raychaudhuri equation, the following result is obtained: let be the algebra of observables assoiciated with a region that is the causal future of some compact set in the interior of the spacetime. Let S be the relative entropy with respect to this algebra, A the area of the horizon cross section defined by the region, computed to second order in the gravitational perturbation. If the region is time-translated by the Killing parameter t, then , with F the flux of the gravitational/matter radiation (integrated squared news tensor) emitted towards the future of the region.