论文标题
近超黑洞的纠缠熵
Entanglement entropy of near-extremal black hole
论文作者
论文摘要
我们研究使用岛屿配方衍生的霍金辐射的纠缠熵如何随着黑洞质量减小而进行的Reissner-Nordström黑洞的行为。对问题的一般答案本质上不仅取决于质量减少的特征，还取决于电荷的减少。我们假设电荷与质量$ q^2 = gm^2 [1- \ left（\ frac {m}μ\ right）^{2ν}] $之间的特定关系，我们称之为约束方程。我们讨论是否有可能具有约束，以便在蒸发结束时没有爆炸的爆炸，就像在热力学熵和Schwarzschild黑洞的纠缠熵的情况下一样。我们表明，对于一些特殊的缩放参数，只要蒸发黑洞的质量超过普朗克质量，辐射的纠缠熵就不会爆炸。
We study how the entanglement entropy of the Hawking radiation derived using island recipe for the Reissner-Nordström black hole behaves as the black hole mass decreases. A general answer to the question essentially depends not only on the character of decreasing of the mass but also on decreasing of the charge. We assume the specific relationship between the charge and mass $Q^2=GM^2[1-\left(\frac{M}μ\right)^{2ν} ]$, which we call the constraint equation. We discuss whether it is possible to have a constraint so that the entanglement entropy does not have an explosion at the end of evaporation, as happens in the case of thermodynamic entropy and the entanglement entropy for the Schwarzschild black hole. We show that for some special scaling parameters, the entanglement entropy of radiation does not explode as long as the mass of the evaporating black hole exceeds the Planck mass.
