Hoop Conjecture and Black Holes on a Brane

Details Hoop Conjecture and Black Holes on a Brane Hoop Conjecture and Black Holes on a Brane

2003-02-14

arxiv.org/abs/gr-qc/0302058v1

Prog.Theor.Phys.Suppl.148:291-297,2003

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, 1 figure, To be published in Progress of Theoretical Physics Supplement No. 148 "Brane World: New Perspective in Cosm

Scientific paper

10.1143/PTPS.148.291

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.

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