Horizon entropy with loop quantum gravity methods
Horizon entropy with loop quantum gravity methods
复制标题
DOI：
10.1016/j.physletb.2015.04.070
复制
发表时间：
2014-12
影响因子：
4.4
通讯作者：
D. Pranzetti;H. Sahlmann
中科院分区：
文献类型：
--
作者：
D. Pranzetti;H. Sahlmann
我们证明球对称孤立视界可以用 SU (2) 连接和 su (2) 值一式来描述，并遵守一定的约束。视界辛结构正是一阶公式中的三维引力结构。我们利用最近为具有非零宇宙常数的 3d 引力开发的方法，在圈量子引力的框架中量化了视界自由度。结束于地平线的整体激发的行为与 3d 引力中的粒子非常相似。贝肯斯坦-霍金定律在虚数 Barbero-Immirzi 参数的极限下得到恢复。还讨论了替代的量化方法。
We show that the spherically symmetric isolated horizon can be described in terms of an SU (2) connection and an su (2)-valued one-form, obeying certain constraints. The horizon symplectic structure is precisely the one of 3d gravity in a first order formulation. We quantize the horizon degrees of freedom in the framework of loop quantum gravity, with methods recently developed for 3d gravity with non-vanishing cosmological constant. Bulk excitations ending on the horizon act very similarly to particles in 3d gravity. The Bekenstein–Hawking law is recovered in the limit of imaginary Barbero–Immirzi parameter. Alternative methods of quantization are also discussed.