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arXiv · 2504.14883

Shock waves in classical dust collapse

Viqar Husain·Hassan Mehmood
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Abstract

During gravitational collapse of dust in spherical symmetry, matter particles may collide forming shell crossing surfaces (SCS) on which the Einstein equations become indeterministic. We show that there is a unique evolution beyond SCS such that a propagating shock wave forms, the metric remains continuous, and the stress-energy tensor dynamically becomes that of a thin shell. We give numerical simulations that exhibit this result.

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Viqar Husain, Hassan Mehmood. 2025-04-21. Shock waves in classical dust collapse. https://doi.org/10.1103/b317-86qs

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