标题： 引力坍缩的解析模型 显示英文标题

标题： Analytic models for gravitational collapse

摘要： 我们提出了两个关于施瓦西黑洞引力坍缩的解析模型，起始于最近发表于[Phys. Rev. D 109, 104032 (2024)]中的重新审视的施瓦西解的内部。只要坍缩速度低于某个极限，这两种模型在所有时刻都满足某些能量条件。在其中一个模型中，施瓦西黑洞在原点处（$R_{\mu\nu\alpha\beta}R^{\mu\nu\alpha\beta}\sim r^{-6}$）的奇点在坍缩开始后立即形成；而在另一个模型中，在有限时间内坍缩过程中（除$t\to\infty$外）从未出现这样的奇点。所使用的方案对于详细研究广义相对论中奇点的出现显示出巨大的潜力。 显示英文摘要

摘要： We present two analytical models of gravitational collapse toward the Schwarzschild black hole, starting from the interior of the revisited Schwarzschild solution recently reported in [Phys. Rev. D 109, 104032 (2024)]. Both models satisfy some energy conditions at all times as long as the collapse is slower than some limit. While a singularity of the Schwarzschild black hole at the origin ($R_{\mu\nu\alpha\beta}R^{\mu\nu\alpha\beta}\sim r^{-6}$) forms immediately after the start of the collapse in one model, such a singularity never appear at finite time during the collapse (except $t\to\infty$) in the other model. The scheme used shows great potential for studying in detail the appearance of singularities in general relativity.