非对称量子奥本海默-斯奈德坍缩
Asymmetric Quantum Oppenheimer-Snyder Collapse
AI总结：
本研究在圈量子宇宙学框架下，分析尘埃球坍缩过程中出现的物理激波，推导真空 sector 的类似史瓦西线元，首次确立该框架内完全动力学的正则黑洞形成。
AI中文摘要：
我们在圈量子宇宙学框架内研究均匀各向同性尘埃球坍缩形成黑洞的过程。利用针对勒梅特-托尔曼-邦迪（Lemaitre-Tolman-Bondi）时空构建的圈动力学（该动力学可简化为非对称圈量子宇宙学反弹场景），我们分析了尘埃球经历幂律收缩后再经历类德西特膨胀的过程。我们发现尘埃球表面会出现一个物理激波，其特征是诱导度规连续，而外在曲率不连续，这源于膨胀的内部与收缩的外部真空壳之间的动力学不匹配。此外，我们明确推导了真空 sector 的两种类似史瓦西的线元，并证明所得时空是测地完备的，具有丰富的因果结构。这首次在与圈量子宇宙学一致的框架内确立了完全动力学的正则黑洞形成。
英文摘要：
We study black hole formation resulting from the collapse of a homogeneous and isotropic dust ball within a framework built upon loop quantum cosmology. Using loop dynamics formulated for Lemaitre-Tolman-Bondi spacetimes---which reduce to the asymmetric loop quantum cosmological bounce scenario---we analyze the dust ball undergoing power-law contraction followed by a de Sitter-like expansion. We discover an emergence of a physical shock at the dust ball surface, characterized by a continuous induced metric and a discontinuous extrinsic curvature arising from a dynamical mismatch between the expanding interior and the contracting exterior vacuum shells. Furthermore, we explicitly derive two variants of Schwarzschild-like line elements for the vacuum sector, and we demonstrate that the resulting spacetime is geodesically complete featuring a rich causal structure. This establishes, for the first time, fully dynamical regular black hole formation within a framework consistent with loop quantum cosmology.
