Quantum black holes in loop quantum gravity
Quantum black holes in loop quantum gravity
复制标题
圈量子引力中的量子黑洞
DOI：
10.1088/0264-9381/31/9/095009
复制
发表时间：
2013
影响因子：
3.5
通讯作者：
J. Pullin
中科院分区：
文献类型：
--
作者：
R. Gambini;J. Olmedo;J. Pullin
研究了圈量子引力中球对称真空时空的量子化。特别是，我们给我们以前的工作，我们表明，可以完成量子化的模型和解决黑洞内的奇异性的额外的细节。此外，我们考虑一种替代量化的基础上略有不同的运动学希尔伯特空间。运动学空间中的模糊性源于人们如何对待这些模型中的一个经典变量的周期性。相应的物理希尔伯特空间解决了同构和哈密顿约束，但它们的内在结构是完全不同的，这取决于运动学希尔伯特空间。在这两种情况下，都存在没有经典对应物的量子可观测量。然而，人们可以证明，在一天结束时，通过检查狄拉克可观测量，两种量子化导致相同的物理预测。
We study the quantization of spherically symmetric vacuum spacetimes within loop quantum gravity. In particular, we give additional details about our previous work in which we showed that one could complete the quantization of the model and that the singularity inside black holes is resolved. Moreover, we consider an alternative quantization based on a slightly different kinematical Hilbert space. The ambiguity in kinematical spaces stems from how one treats the periodicity of one of the classical variables in these models. The corresponding physical Hilbert spaces solve the diffeomorphism and Hamiltonian constraint but their intrinsic structure is radically different depending on the kinematical Hilbert space one started from. In both cases there are quantum observables that do not have a classical counterpart. However, one can show that at the end of the day, by examining Dirac observables, both quantizations lead to the same physical predictions.