منابع مشابه
A Reformulation of the Hoop Conjecture
A reformulation of the Hoop Conjecture which avoids the use of any foliations as well as ill-defined notions of “encircled mass” and “circumference of a body” is presented. The new formulation is based on the concept of trapped circle, which is well-defined, geometrically sound, and physically relevant. With the new formulation, the problems of severe compactness in every spatial direction, and...
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We give general sufficient conditions for the existence of trapped surfaces due to concentration of matter in spherically symmetric initial data sets satisfying the dominant energy condition. These results are novel in that they apply and are meaningful for arbitrary spacelike slices, that is, they do not require any auxiliary assumptions such as maximality, time symmetry, or special extrinsic ...
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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...
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ژورنال
عنوان ژورنال: EPL (Europhysics Letters)
سال: 2007
ISSN: 0295-5075,1286-4854
DOI: 10.1209/0295-5075/81/20004