Swatton, D.J.R. and Clarke, C.J.S.
The existence of Newtonian dust caustics
Classical and Quantum Gravity, 15, (9), . (doi:10.1088/0264-9381/15/9/030).
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We prove a rigorous existence theorem in the case of one-dimensional Newtonian gravity for a pressureless fluid, in which a caustic separates a single-fluid region from a region with three superimposed fluid flows. This is of interest both for the shell crossing singularities of general relativity and for models of galaxy formation.
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