Hoop conjecture and black holes on a brane

被引:0
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作者
Nakamura, K [1 ]
Nakao, K
Mishima, T
机构
[1] Natl Astron Observ, Div Theoret Astrophys, Mitaka, Tokyo 1818588, Japan
[2] Osaka City Univ, Grad Sch Sci, Dept Phys, Osaka 5588585, Japan
[3] Nihon Univ, Coll Sci & Technol, Phys Lab, Funabashi, Chiba 2740063, Japan
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中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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 C in every direction satisfies C > 4piGM, black holes with horizons can form in the Randall-Sundrum scenario.
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页码:291 / 297
页数:7
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