标题： 带电黑洞的量子时空 显示英文标题

标题： Quantum space-time of a charged black hole

摘要： 我们对球对称的电真空引力进行量子化。 通过重新缩放和与微分同胚约束的线性组合，可以将哈密顿约束代数变为阿贝尔的。 结果约束代数是一个真正的李代数。 我们使用环状量子引力技术完成了狄拉克量子化过程。 我们明确地给出了所有约束作用下为零的物理希尔伯特空间的精确解。 所产生的量子时空解决了带电黑洞内部经典理论中存在的奇点，并允许将时空延伸到奇点所在的位置进入新的区域。 我们表明，时空的量子离散性也可能在稳定柯西视界中发挥作用，尽管需要进行反作用计算来确认这一点。 显示英文摘要

摘要： We quantize spherically symmetric electrovacuum gravity. The algebra of Hamiltonian constraints can be made Abelian via a rescaling and linear combination with the diffeomorphism constraint. As a result the constraint algebra is a true Lie algebra. We complete the Dirac quantization procedure using loop quantum gravity techniques. We present explicitly the exact solutions of the physical Hilbert space annihilated by all constraints. The resulting quantum space-times resolve the singularity present in the classical theory inside charged black holes and allows to extend the space-time through where the singularity used to be into new regions. We show that quantum discreteness of space-time may also play a role in stabilizing the Cauchy horizons, though back reaction calculations are needed to confirm this point.