引力坍缩中的有效物质转化与规则黑洞的动力学形成
Effective Matter Conversion in Gravitational Collapse and the Dynamical Formation of Regular Black Holes
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- Istituto Nazionale di Fisica Nucleare, Laboratori Nazionali di Frascati（意大利国家核物理研究所，弗拉斯卡蒂国家实验室）
- Eastern Mediterranean University（东地中海大学）
- Wilczek Quantum Center, Shanghai Institute for Advanced Studies（威尔切克量子中心，上海高等研究院）
- University of Science and Technology of China（中国科学技术大学）
机构由 AI 辅助整理，请以论文原文为准。
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中文总结 AI 辅助
本研究通过广义Vaidya时空中的逆源重建，提出一种有限密度剖面构造规则黑洞的方法，满足能量条件并形成俘获视界，其阴影与Sgr A*观测相符。
中文摘要 AI 辅助
我们研究了广义Vaidya时空中的逆源重建问题。一个给定的密度分布确定了质量和切向压力，而一个双扇区分解则确定了一个无量纲的径向平衡函数。我们将该函数与时间定向的转化率区分开来，并识别出协变交换矢量所需的额外零通量信息。正性条件限制了允许的目标压力：德西特核心无法由具有非负切向状态方程的非负扇区来表示。一个显式的有限密度剖面允许一个正的类真空补全、有限的曲率不变量，以及高于可计算阈值的内外俘获视界。在单调吸积过程中，其总源满足零、弱和主能量条件，而类时收敛条件在核心处失效。我们检查了多方、袋模型启发和凝聚体启发的剖面以及相应的宇宙学重建。最后，我们计算了静止终点的阴影，并将其外部形变与已发表的Sgr A*测量结果进行比较。该构造确立了局部曲率正则性和边缘球面形成，但不声称微观形成机制、微扰稳定性或测地完备性。
英文摘要
We study inverse source reconstruction in generalized Vaidya spacetimes. A prescribed density fixes the mass and tangential pressure, while a two-sector decomposition determines a dimensionless radial balance function. We distinguish this function from a time-directed conversion rate and identify the additional null-flux information required for a covariant exchange vector. Positivity restricts the allowed target pressures: a de Sitter core cannot be represented by nonnegative sectors with nonnegative tangential equations of state. An explicit finite-density profile admits a positive vacuum-like completion, finite curvature invariants, and inner and outer trapping horizons above a calculable threshold. Its total source satisfies the null, weak, and dominant energy conditions during monotonic accretion, while the timelike convergence condition fails in the core. We check polytropic, bag-model-inspired, and condensate-inspired profiles and the corresponding cosmological reconstruction. Finally, we compute the stationary endpoint's shadow and compare its exterior deformation with published Sagittarius A* measurements. The construction establishes local curvature regularity and marginal-sphere formation, without claiming a microscopic formation mechanism, perturbative stability, or geodesic completeness.
