尘埃圆柱壳II的相对论引力坍缩：沉降边界条件
Relativistic Gravitational Collapse of a Cylindrical Shell of Dust II: Settling Down Boundary Condition
摘要：
数值研究了由尘埃组成的空心圆柱体的内爆动力学。由于在四维时空中不存在具有物理上合理的能量条件的圆柱形黑洞，一个坍缩的尘埃圆柱体涉及一个伴随着其因果未来的裸奇点，或者一个终止整个宇宙历史的致命奇点。在以前的论文中，本作者已经表明，如果假设尘埃是由无碰撞粒子组成的，这些粒子通过圆柱的对称轴，那么在对称轴上形成的标量多项式奇点是如此之弱，以至于几乎所有的测地线都是完整的，因此有效地没有奇点形式的空心尘埃圆柱的崩溃。相反，在本文中，我们假设整个坍缩尘埃通过改变其状态方程而沉降在对称轴上。得到的解是摩根的零尘解的直接扩展，其中没有引力辐射。然而，在目前的类时尘埃中，最初储存在系统中的无限数量的$C$ -能量通过引力辐射释放出来。我们还表明，引力波渐近行为的自相似方式。
英文摘要：
We numerically study the dynamics of an imploding hollow cylinder composed of dust. Since there is no cylindrical black hole in 4-dimensional spacetime with physically reasonable energy conditions, a collapsed dust cylinder involves a naked singularity accompanied by its causal future, or a fatal singularity which terminates the history of the whole universe. In a previous paper, the present authors have shown that if the dust is assumed to be composed of collisionless particles such that these particles go through the symmetry axis of the cylinder, then the scalar polynomial singularity formed on the symmetry axis is so weak that almost all of geodesics are complete, and thus effectively no singularity forms by the collapse of a hollow dust cylinder. By contrast, in this paper, we assume that whole of the collapsed dust settles down on the symmetry axis by changing its equation of state. Obtained solutions are the straightforward extension of Morgan's null dust solution, in which no gravitational radiation is emitted. However, in the present case with timelike dust, infinite amount of $C$-energy initially stored in the system is released through gravitational radiation. We also show that the gravitational waves asymptotically behave in a self-similar manner.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
