克尔黑洞的形成：一个精确模型
Formation of the Kerr black hole: an exact model
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中文总结 AI 辅助
该研究提出轴对称引力坍缩的精确解析模型，仅依赖总质量和随时间变化的旋转参数，可描述克尔黑洞形成前的坍缩末态，还预测了相关可观测特征。
中文摘要 AI 辅助
我们提出了一个轴对称引力坍缩的精确解析模型，该模型可导致克尔黑洞的形成。该模型仅依赖总质量${\tilde M}$和随时间变化的旋转参数$a(v)$，并且包含极端克尔黑洞以及无需满足$a\approx{\tilde M}$的新型准极端 regime。演化过程中会产生由$a(v)$诱导的曲率奇点，这些奇点预计仍被封闭在随时间演化的克尔半径$r=h(v)$附近的被俘获区域内。该模型还预测了随$1/r^2$衰减的瞬态各向异性外曲率，这可能会留下与旋转黑洞形成相关的可观测特征。因此，当前的构造应被解释为旋转引力坍缩最后阶段的精确解析描述，该阶段紧接在克尔黑洞形成之前。
英文摘要
We present an exact analytical model of axisymmetric gravitational collapse leading to the formation of the Kerr black hole. The model depends only on the total mass ${\cal M}$ and a time dependent rotation parameter $a(v)$, and incorporates both the extremal Kerr black hole and a novel quasi extremal regime without requiring $a\approx{\cal M}$. The evolution develops curvature singularities induced by $a(v)$, which are expected to remain enclosed within a trapped region close to the evolving Kerr radius $r=h(v)$. It also predicts a transient anisotropic exterior curvature decaying as $1/r^2$, which may imprint observable signatures associated with the formation of a rotating black hole. The present construction should therefore be interpreted as an exact analytical description of the final stage of rotational gravitational collapse, immediately preceding the formation of the Kerr black hole.
