论文标题
非词性对称黑洞模型，带有固体校正
Nonsingular spherically symmetric black-hole model with holonomy corrections
论文作者
论文摘要
我们提出了一个球形对称黑洞的协变量模型，其校正是由循环量子重力驱动的。通过正常$λ$参数的有效修改是通过规范转换和一般相对性约束的线性组合实现的，以至于理论仍然没有异常，并且一般相对论被以$λ= 0 $恢复。此外，相应的度量是以完全协变的方式构造的，以确保相空间上的量规变换对应于坐标变化。每个量规选择的解决方案提供了时空解决方案的图表和相应的线元素，其几何形状是根据参数$λ$和运动$ M $的常数确定的。对于$ m $的正值，该解决方案在渐近平坦，并包含一个全球双曲线/白孔区域，具有最小的空格性超表面，取代了Schwarzschild的奇异性。相应的外部区域是等距的，尤其是允许计算ADM质量。获得溶液的全局因果结构的过程也产生了其最大分析扩展。
We present a covariant model of a spherically symmetric black hole with corrections motivated by loop quantum gravity. The effective modifications, parametrized by a positive constant $λ$, are implemented through a canonical transformation and a linear combination of the constraints of general relativity, in such a way that the theory remains free of anomalies and general relativity is recovered for $λ=0$. In addition, the corresponding metric is constructed in a fully covariant way to ensure that gauge transformations on phase space correspond to coordinate changes. The solution for each gauge choice provides a chart and corresponding line element of a spacetime solution whose geometry is unambiguously determined in terms of the parameter $λ$ and a constant of motion $m$. For positive values of $m$, the solution is asymptotically flat and contains a globally hyperbolic black-hole/white-hole region with a minimal spacelike hypersurface that replaces the Schwarzschild singularity. The corresponding exterior regions are isometric and, in particular, allow the computation of the ADM mass. The procedure to obtain the global causal structure of the solution yields also its maximal analytic extension.
