East William E
Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L 2Y5, Canada.
Phys Rev Lett. 2019 Jun 14;122(23):231103. doi: 10.1103/PhysRevLett.122.231103.
We study the collapse of spheroidal configurations of collisionless particles in full general relativity. This setup was originally considered by Shapiro and Teukolsky, where it was found that prolate configurations with a sufficiently large semimajor axis gave rise to diverging curvature, but no apparent horizon. This was taken as evidence for the formation of a naked singularity, in violation of cosmic censorship. We revisit such configurations using different coordinates and slicing, and considering a range of values for the semimajor axis and eccentricity of the initial matter distribution, and find that the final state in all cases studied is a black hole plus gravitational radiation. Though initially distorted, the proper circumferences of the apparent horizons that are found do not significantly exceed the hoop conjecture bound. Configurations with a larger semimajor axis can produce strong gravitational radiation, with luminosities up to P_{GW}∼2×10^{-3}c^{5}/G.
我们在完全广义相对论的框架下研究无碰撞粒子的椭球形构型的坍缩。这种情况最初是由夏皮罗和特科尔斯基考虑的，他们发现具有足够大的半长轴的长椭球形构型会导致发散的曲率，但没有明显的视界。这被视为违反宇宙审查制度形成裸奇点的证据。我们使用不同的坐标和切片重新审视此类构型，并考虑初始物质分布的半长轴和偏心率的一系列值，发现所有研究案例的最终状态都是一个黑洞加上引力辐射。尽管最初会发生扭曲，但所发现的表观视界的固有周长并未显著超过箍猜想界限。具有较大半长轴的构型可以产生强烈的引力辐射，光度高达(P_{GW} \sim 2×10^{-3}c^{5}/G)。
