论文标题
静态黑洞空位的纠缠熵的复制技巧计算
Replica Trick Calculation for Entanglement Entropy of Static Black Hole Spacetimes
论文作者
论文摘要
我们计算了静态黑洞的两个（最大延伸）时空区域之间的纠缠熵，并被视野分离。作为第一种情况，我们考虑了Schwarzschild黑洞，然后将计算扩展到带有多个地平线的带电的Reissner-Nordstrom和Schwarzschild-De Stinter黑洞。还考虑了与更通用的F（R）重力的静态和球形对称溶液的情况。使用复制技巧进行纠缠熵的计算，通过获得与所考虑的每个黑洞相对应的标准的明确形式，该指标的明确形式对应于复制品时空。静态和球形对称的黑洞的计算导致与Bekenstein-Hawking区域法律熵相匹配的纠缠熵。
We calculate the entanglement entropy between two (maximally-extended) spacetime regions of static black hole, seperated by horizon. As a first case, we consider the Schwarzschild black hole, and then we extend the calculations to the charged Reissner- Nordstrom and Schwarzschild-de Sitter black holes with more than one horizon. The case for static and spherically-symmetric solution to the more general F (R) gravity is also considered. The calculation of the entanglement entropy is performed using the replica trick by obtaining the explicit form of the metric which corresponds to the replica spacetime for each black hole under consideration. The calculation of static and spherically-symmetric black holes result in the entanglement entropy that matches the Bekenstein-Hawking area law entropy.
