报告人：曲东雪 博士（成都理工大学） 

题 目：Quantum induced shock dynamics in gravitational collapse量子诱导的引力塌缩中的激波动力学

时 间：2025年11月7日（周五）上午10:30

地 点：理工楼1226

邀请人：赵力、杨捷、刘玉孝

报告摘要：

In this talk, I will explore the formation and evolution of shock waves in spherically symmetric gravitationalcollapse within a Loop Quantum Gravity (LQG) inspired effective framework. In this setting, theclassical singularities are replaced by quantum-induced shell-crossing singularities, which are resolved through weak solutions such as shock waves. By formulating the dynamics in a generalizedPainleve–Gullstrand coordinate system, we derive a first-order partial differential equation that governs the propagation of the shock surface, while enforcing metric continuity via thin-shell junction conditions. To handle the non-trivial square root structures and source terms that arise in these equations, we develop a novel numerical scheme capable of simulating quantum-corrected spacetime dynamics. Our results show that for small mass black holes near the Planck scale, the shock surface remains time-like and is shielded behind both inner and outer horizons.

在本次报告中，我将探讨在圈量子引力（Loop Quantum Gravity, LQG）启发的有效框架下，球对称引力塌缩过程中激波的形成与演化。在这种情形中，经典意义上的奇点被量子效应所引发的shell-crossing singularity所取代，而这些奇点可以通过激波等弱解形式得到解析。在广义的Painlevé–Gullstrand坐标系中，我们推导出一个控制激波面传播的一阶偏微分方程，并通过薄壳连接条件保证度规的连续性。针对该方程中出现的非平凡平方根结构及源项，我们构建了一种新的数值算法，用于模拟包含量子修正的时空动力学。研究结果表明，对于接近普朗克尺度的小质量黑洞，激波面保持类时性质，并被包裹在内外视界之内。

参考文献：arXiv: 2504.18462

报告人简介：

曲东雪，现为成都理工大学讲师。本科毕业于北京交通大学，博士毕业于美国佛罗里达大西洋大学。曾在加拿大圆周率理论物理研究所从事博士后研究工作。目前主要研究兴趣集中于圈量子引力中的数值计算。