Microscopic entropy of the charged BTZ black hole
Microscopic entropy of the charged BTZ black hole
复制标题
DOI：
10.1088/0264-9381/25/19/195022
复制
发表时间：
2007-10
影响因子：
3.5
通讯作者：
M. Cadoni;M. Melis;M. Setare
中科院分区：
文献类型：
--
作者：
M. Cadoni;M. Melis;M. Setare
带电 BTZ 黑洞的特征是由空穴电荷产生的幂律曲率奇点。曲率奇点在引力场的渐近展开中产生ln r 项，并对边界项产生不同的贡献。我们证明这些边界变形可以通过二维共形群的作用产生，并且适当的重整化过程允许定义有限边界电荷。在半经典体系中，对偶 CFT 的中心电荷是由 Brown 和 Henneaux 计算的，而与时间平移相关的电荷由重正化的黑洞质量给出。然后我们证明卡迪公式准确地再现了带电 BTZ 黑洞的贝肯斯坦-霍金熵。
The charged BTZ black hole is characterized by a power-law curvature singularity generated by the electric charge of the hole. The curvature singularity produces ln r terms in the asymptotic expansion of the gravitational field and divergent contributions to the boundary terms. We show that these boundary deformations can be generated by the action of the conformal group in two dimensions and that an appropriate renormalization procedure allows for the definition of finite boundary charges. In the semiclassical regime the central charge of the dual CFT turns out to be that calculated by Brown and Henneaux, whereas the charge associated with time translation is given by the renormalized black hole mass. We then show that the Cardy formula reproduces exactly the Bekenstein–Hawking entropy of the charged BTZ black hole.