Isolated Newtonian Dust Stars Are Unstable But Can Be Stabilized by Exterior Matter

Details Isolated Newtonian Dust Stars Are Unstable But Can Be Stabilized by Exterior Matter Isolated Newtonian Dust Stars Are Unstable But Can Be Stabilized by Exterior Matter

May 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001gregr..33..719s&link_type=ejournal

General Relativity and Gravitation, Volume 33, Issue 5, pp.719-737

Mathematics

3

Dust Stars, Newtonian Gravity, General Relativity

Scientific paper

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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