Loop Quantization of the Schwarzschild Black Hole
Loop Quantization of the Schwarzschild Black Hole
复制标题
DOI：
10.1103/physrevlett.110.211301
复制
发表时间：
2013-05-23
影响因子：
8.6
通讯作者：
Pullin, Jorge
中科院分区：
文献类型：
--
作者：
Gambini, Rodolfo;Pullin, Jorge
我们对球对称真空重力进行量子化，而不需要规范固定微分同态约束。通过重新标度，使哈密顿约束代数成为阿贝尔代数，因此该约束代数是一个真正的李代数。这允许完成狄拉克量子化程序使用环量子重力技术。我们可以明确地构造被所有约束湮灭的物理希尔伯特空间的精确解。生活在体中的新观测出现在量子水平（类似于量子力学中的自旋），不存在于经典水平，并且与环量子引力的自旋网络状态的离散性质有关。由此产生的量子时空解决了黑洞内部经典理论中存在的奇点。
We quantize spherically symmetric vacuum gravity without gauge fixing the diffeomorphism constraint. Through a rescaling, we make the algebra of Hamiltonian constraints Abelian, and therefore the constraint algebra is a true Lie algebra. This allows the completion of the Dirac quantization procedure using loop quantum gravity techniques. We can construct explicitly the exact solutions of the physical Hilbert space annihilated by all constraints. New observables living in the bulk appear at the quantum level (analogous to spin in quantum mechanics) that are not present at the classical level and are associated with the discrete nature of the spin network states of loop quantum gravity. The resulting quantum space-times resolve the singularity present in the classical theory inside black holes.