Isoperimetric inequalities in the physics of black holes.

Physics

Scientific paper

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Black Holes: Physics

Scientific paper

Results are reported on the following problems: (1) On the validity of
the Penrose inequality. (2) On the hoop conjecture. (3) On the physical
criteria for the formation of trapped surfaces. (4) On estimates of a
total scalar curvature. A special emphasis is put on the last two
points.

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