论文标题
量子极端岛变得容易，第四部分：勃雷上的大孔
Quantum Extremal Islands Made Easy, Part IV: Massive Black Holes on the Brane
论文作者
论文摘要
我们研究了具有非零质量的二维永恒黑洞，其中每个渐近边界与圆上的CFT接触，遵循[Arxiv：2006.04851，arxiv：arxiv：2010.00018，arxiv：arxiv：arxiv：2010.16398]的双重全息braneworld模型。我们计算黑洞（或浴CFT）的页面曲线，这相当于在散装BTZ几何形状中找到不同的大地测量学，而Randall-Sundrum Brane落入黑洞中。我们还探索了在棕褐色上包含固有的JT重力作用的可能性。正如预期的那样，广义熵在早期线性上升。但是，熵保持恒定的过渡阶段存在过渡。晚期熵的值取决于热浴的大小。对于小尺寸，它对应于浴缸的热熵，而对于大尺寸，它对应于黑洞的地平线熵的两倍。临界大小和页面时间与保形缺陷和浴CFT的中心电荷的比率成正比。
We study two-dimensional eternal black holes with non-zero mass, where each asymptotic boundary is in contact with a CFT on a circle, following the doubly holographic braneworld models constructed in [arXiv:2006.04851, arXiv:2010.00018, arXiv:2010.16398]. We compute the Page curve of the black hole (or the bath CFTs), which amounts to finding different geodesics in the bulk BTZ geometry with a Randall-Sundrum brane falling into the black hole. We also explore the possibility of including an intrinsic JT gravity action on the brane. As expected, the generalized entropy rises linearly at early times. However, there is a transition to a late-time phase in which the entropy remains constant. The value of the late-time entropy depends on the size of the thermal baths. For a small size, it corresponds to the thermal entropy of the baths, while for large size, it corresponds to twice the horizon entropy of the black hole. The critical size and the Page time are proportional to ratio of the central charges of the conformal defect and the bath CFT.
