A reformulation of the hoop conjecture

Published 12 December 2007 Europhysics Letters Association
, , Citation J. M. M. Senovilla 2008 EPL 81 20004 DOI 10.1209/0295-5075/81/20004

0295-5075/81/2/20004

Abstract

A reformulation of the hoop conjecture based on the concept of trapped circle is presented. The problems of severe compactness in every spatial direction, and of how to superpose the hoops with the surface of the black hole, are resolved. A new conjecture concerning "peeling" properties of dynamical/trapping horizons is propounded. A novel geometric Hoop inequality is put forward. The possibility of carrying over the results to arbitrary dimension is discussed.

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