论文标题
Reissner-Nordström黑洞在高清重力中的页面曲线
Page Curves of Reissner-Nordström Black Hole in HD Gravity
论文作者
论文摘要
在四个维度的较高衍生术语的情况下，我们获得了永恒的Reissner-Nordström黑洞的页面曲线。我们考虑两种情况：带有$ {\ cal o}（r^2）$ enter的重力动作加上麦克斯韦术语和爱因斯坦 - 高斯 - 邦纳特重力加上麦克斯韦的术语。在这两种情况下，在没有岛表面的情况下，霍金辐射的纠缠熵随时间呈线性增加。在包括岛表面的贡献之后，我们发现在第页时间之后，在两种情况下，鹰辐射的纠缠熵都达到恒定值，这是黑洞的Bekenstein-Hawking熵的两倍，我们获得了页面曲线。我们发现该页面曲线出现在高斯桥耦合增加或减小时出现在后期或更早的时间。此外，根据校正术语（来自重力措施中的$ {\ cal o}（r^2）$项的校正期限是在第一种情况下，在第二种情况下，在第二种情况下，在第二种情况下仍然没有影响（Einstein-gauss-bos-bonnet Gravtity案例），reissner-nordström的争夺时间正在增加或减少。作为一致性检查，在消失的GB耦合的极限中，我们获得了在Arxiv中获得的Reissner-Nordström黑洞的页面曲线：2101.06867。
We obtain the Page curves of an eternal Reissner-Nordström black hole in the presence of higher derivative terms in four dimensions. We consider two cases: gravitational action with general ${\cal O}(R^2)$ terms plus Maxwell term and Einstein-Gauss-Bonnet gravity plus Maxwell term. In both the cases entanglement entropy of the Hawking radiation in the absence of island surface is increasing linearly with time. After including contribution from the island surface, we find that after the Page time, entanglement entropy of the Hawking radiation in both the cases reaches a constant value which is the twice of the Bekenstein-Hawking entropy of the black hole and we obtain the Page curves. We find that Page curves appear at later or earlier time when the Gauss-Bonnet coupling increases or decreases. Further, scrambling time of Reissner-Nordström is increasing or decreasing depending upon whether the correction term (coming from ${\cal O}(R^2)$ terms in the gravitational action) is increasing or decreasing in the first case whereas scrambling time remains unaffected in the second case (Einstein-Gauss-Bonnet gravity case). As a consistency check, in the limit of vanishing GB coupling we obtain the Page curve of the Reissner-Nordström black hole obtained in arXiv:2101.06867.
