Must nonspherical collapse produce black holes? - A gravitational confinement theorem

Astronomy and Astrophysics – Astronomy

Scientific paper

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Black Holes (Astronomy), Gravitational Collapse, Relativity, Space-Time Functions

Scientific paper

A confinement property for gravitational collapse is proposed as proof of an aspect of the 'event-horizon conjecture'. It is shown that a trapped surface can be extended, more or less rigidly, to a three cylinder that is everywhere spacelike, so that later sections of the cylinder are also trapped, provided that no singularities are encountered in its development. The proof implies that the interior of a regular, area-preserving, initially trapped surface is permanently sealed off from causal influence on the exterior world, barring some violent eruption.

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