185 research outputs found
Hoop Conjecture and Black Holes on a Brane
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 does not
become compacted into a region whose circumference in every
direction satisfies , black holes with horizons can form in
the Randall-Sundrum scenario.Comment: 7 pages, 1 figure, To be published in Progress of Theoretical Physics
Supplement No. 148 "Brane World: New Perspective in Cosmology
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