Hoop Conjecture and Cosmic Censorship in the Brane-World

Abstract

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

5 pages, 1 figure, to be published in Physics Letters B

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• Exact Description of Black Holes on Branes
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Cited by in corpus (9)

• Gravitational Collapse of Self-Similar Perfect Fluid in 2+1 Gravity
• Formation of dynamically transversely trapping surfaces and the stretched hoop conjecture
• Hoop Conjecture in Five-dimensios -Violation of Cosmic Censorship-
• Analytical studies on the hoop conjecture in charged curved spacetimes
• Investigations on hoop conjecture for horizonless spherical charged stars
• Black Strings in Our World
• Testing generalized spacetimes for black holes using the Hod function representation of the hoop conjecture
• On Gauge Choice of Spherically Symmetric 3-Branes
• A unified hoop conjecture for black holes and horizonless compact stars