论文标题
量子几何和黑洞
Quantum geometry and black holes
论文作者
论文摘要
我们总结了在循环量子重力中的球形对称中间空间上的工作。我们的方法是基于使用不均匀的切片，如果有一种，则可以穿透地平线，并且重新定义约束，因此哈密顿量与自身具有Abeltonian Abeltonian。我们讨论了基本和改进的量化，就像循环量子宇宙学中所做的那样。我们讨论了参数化的狄拉克观测值来定义与状态物理空间中运动变量相关的操作员，这是引入与时空度量相关的操作员的第一步。我们分析了消除奇异性以及如何用太空时间的扩展代替它们。我们讨论了带电的案例和准模式中的潜在观察后果。我们还分析了该方法的协方差。最后，我们对量子黑洞的其他最新方法进行评论，包括由循环量子重力促进的迷你superspaces。
We summarize our work on spherically symmetric midi-superspaces in loop quantum gravity. Our approach is based on using inhomogeneous slicings that may penetrate the horizon in case there is one and on a redefinition of the constraints so the Hamiltonian has an Abelian algebra with itself. We discuss basic and improved quantizations as is done in loop quantum cosmology. We discuss the use of parameterized Dirac observables to define operators associated with kinematical variables in the physical space of states, as a first step to introduce an operator associated with the space-time metric. We analyze the elimination of singularities and how they are replaced by extensions of the space-times. We discuss the charged case and potential observational consequences in quasinormal modes. We also analyze the covariance of the approach. Finally, we comment on other recent approaches of quantum black holes, including mini-superspaces motivated by loop quantum gravity.
