Trapped surfaces due to concentration of matter in spherically symmetric geometries

Statistics – Computation

Scientific paper

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Computational Astrophysics, Gravitational Collapse, Matter (Physics), Schwarzschild Metric, Riemann Manifold, Stellar Structure, Symmetry, Trapping

Scientific paper

Necessary and sufficient conditions for the existence of trapped surfaces in spherically symmetric initial data sets are presented. The conditions show explicitly that the formation of trapped surfaces depends on the degree of concentration and on the average flow of matter. Thus an explicit realization of the so-called 'trapped surface conjecture' is given.

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