Title: Hoop Conjecture and Black Holes on a Brane Show Chinese title

Title: 膜上的环猜想和黑洞

Abstract: The initial data of gravity for a cylindrical matter distribution confined to a brane are studied in the framework of the single-brane Randall-Sundrum scenario. In this scenario, the 5-dimensional nature of gravity appears in the short-range gravitational interaction. We find that a sufficiently thin configuration of matter leads to the formation of a marginal surface, even if the configuration is infinitely long. This implies that the hoop conjecture proposed by Thorne does not hold on the brane: Even if a mass $M$ does not become compacted into a region whose circumference ${\cal C}$ in every direction satisfies ${\cal C}> 4\pi GM$, black holes with horizons can form in the Randall-Sundrum scenario. Show Chinese abstract

Abstract: 在单膜 Randall-Sundrum 情景的框架下，研究了限制在膜上的圆柱形物质分布的引力初始数据。 在这种情景中，5维引力性质出现在短程引力相互作用中。 我们发现，足够薄的物质配置会导致临界表面的形成，即使该配置无限长。 这意味着 Thorne 提出的环猜想在膜上不成立：即使质量$M$没有被压缩成一个周长${\cal C}$在每个方向上都满足${\cal C}> 4\pi GM$的区域，也可以在 Randall-Sundrum 情景中形成带有视界的黑洞。