论文标题
岛上的黑洞
Island in Charged Black Holes
论文作者
论文摘要
我们研究了永恒的黑洞的信息悖论，并在一般维度的双向模型上带有电荷，在该模型中，普朗克棕褐色上的带电的黑洞与共形边界上的浴室耦合。在张力较弱的情况下，可以将棕褐色视为探针，以使其反应到体积是可以忽略的。我们通过分析计算辐射的纠缠熵，并在棕褐色上存在岛屿的存在。对于近超级黑洞，在温度下的生长速率是线性的。考虑到DVALI-GABADADZE-PORRATI项和非零张力，我们在四维时空中获得了带有反应的数值解，并在$ t = 0 $中找到量子极端表面。为了确保在一般情况下可以获得页面曲线，我们提出两种策略，将足够的自由度施加在棕褐色上，以便通过双重塑性设置可以正确描述黑洞信息悖论。
We study the information paradox for the eternal black hole with charges on a doubly-holographic model in general dimensions, where the charged black hole on a Planck brane is coupled to the baths on the conformal boundaries. In the case of weak tension, the brane can be treated as a probe such that its backreaction to the bulk is negligible. We analytically calculate the entanglement entropy of the radiation and obtain the Page curve with the presence of an island on the brane. For the near-extremal black holes, the growth rate is linear in the temperature. Taking both Dvali-Gabadadze-Porrati term and nonzero tension into account, we obtain the numerical solution with backreaction in four-dimensional spacetime and find the quantum extremal surface at $t=0$. To guarantee that a Page curve can be obtained in general cases, we propose two strategies to impose enough degrees of freedom on the brane such that the black hole information paradox can be properly described by the doubly-holographic setup.
