论文标题
在循环量子重力中具有任意形状的黑洞的熵
Entropy of black holes with arbitrary shapes in loop quantum gravity
论文作者
论文摘要
隔离视野的准本地概念用于研究黑洞的熵，而没有任何特定的对称性在循环量子重力中。该方案成功地应用了通过一系列局部区域来表征地平线形状的想法，以通过$（1,1）$ bf边界理论匹配整体中的环路量子重力来计算熵。获得了用于计算给定隔离视野的显微镜自由度的生成函数。小黑洞的数值计算表明一种新的熵公式，该公式包含与地平线分区相关的量子校正。进一步的证据表明，对于给定的地平线区域，当黑洞与球形对称的区域偏离时，熵降低了，熵公式也非常适合大黑洞。
The quasi-local notion of an isolated horizon is employed to study the entropy of black holes without any particular symmetry in loop quantum gravity. The idea of characterizing the shape of a horizon by a sequence of local areas is successfully applied in the scheme to calculate the entropy by the $SO(1,1)$ BF boundary theory matching loop quantum gravity in the bulk. The generating function for calculating the microscopical degrees of freedom of a given isolated horizon is obtained. Numerical computations of small black holes indicate a new entropy formula containing the quantum correction related to the partition of the horizon. Further evidence shows that, for a given horizon area, the entropy decreases as a black hole deviates from the spherically symmetric one, and the entropy formula is also well suitable for big black holes.
