Abstract
The mathematical problem of the existence of solutions for Newtonian dust stars is formulated, and proofs for the non-existence of such stars as isolated objects are given. It is however shown that such stars can be stabilized by reasonable exterior (strained) matter. Comments are made on the problem of Einsteinian rotating dust stars.
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Schaudt, U.M., Pfister, H. Isolated Newtonian Dust Stars Are Unstable But Can Be Stabilized by Exterior Matter. General Relativity and Gravitation 33, 719–737 (2001). https://doi.org/10.1023/A:1010230204300
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DOI: https://doi.org/10.1023/A:1010230204300