A Reformulation of the Hoop Conjecture

Understand

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.