论文标题
部分可观测时空混沌系统的无模型预测
Analytic approach to the formation of a three-dimensional black string from a dust cloud
论文作者
论文摘要
在三维低能弦理论中，我们研究了灰尘云中黑色弦的形成。我们在分析上获得了两种不同类别的精确解决方案，其任意功能负责尘埃云的质量分布。第一类和第二种解决方案可能描述了灰尘崩溃，但第一种解决方案仅用于不均匀的灰尘分布，而第二种则具有均匀的极限。有限的塌陷时间和以色列的交界条件告诉我们，第一种解决方案描述了所需的崩溃现象，而第二种内部时空的比例因子则是微不足道的。在第一个解决方案中，可以通过选择与以色列连接条件一致的适当的不均匀尘埃分布来实现特定的崩溃模型。因此，尽管均匀的尘埃云不能保证我们环境中黑色的弦的形成，但不均匀的尘埃云最终倒在黑色的弦上。太空状的曲率奇异性发生在有限的崩溃时间，可以被黑色弦的地平线掩盖。
In three-dimensional low-energy string theory, we study the formation of a black string from a dust cloud. We analytically obtain two distinct classes of exact solutions with arbitrary functions responsible for mass distributions of the dust cloud. The first and second kinds of solutions may describe collapsing dusts but the first kind is only for inhomogeneous dust distribution while the second kind has a homogeneous limit. The finite collapse time and the Israel junction conditions tell us that the first kind solution describes a desired collapsing phenomenon, whereas the scale factor in the inner spacetime for the second kind turns out to be trivial. In the first kind solution, specific collapsing models can be realized by choosing an appropriate inhomogeneous dust distribution consistent with the Israel junction conditions. Consequently, the inhomogeneous dust cloud eventually collapses to the black string although the homogeneous dust cloud does not guarantee the formation of the black string in our setting. The space-like curvature singularities occur at the finite collapse time and they can be cloaked by the horizon of the black string.
