Astronomy and Astrophysics – Astrophysics
Scientific paper
Sep 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983a%26a...125..287d&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 125, no. 2, Sept. 1983, p. 287-301.
Astronomy and Astrophysics
Astrophysics
4
Gravitational Collapse, Neutron Stars, Phase Transformations, Stellar Mass, Stellar Models, Supermassive Stars, Density Distribution, Equations Of State, Kinetics
Scientific paper
In order to analyze the effects of first-order phase transitions of dense matter on the structure and collapse of dense stars a simple analytically-solvable model is proposed. The model shows the existence of two kinds of stable spherically-symmetric equilibrium configurations: the one-phase configurations with a central pressure which is lower than the phase-transition pressure, and the two-phase (mixed) configurations with a dense-phase core and a diluted-phase envelope. The stability of the static configurations is analyzed. Beyond a critical mass, one-phase configurations become unstable and must evolve towards a stable mixed configuration. This evolution can be smooth or catastrophic depending on the value of the ratio of transition densities in the equation of state. Some (eventually observable) parameters characterizing the collapse such as the characteristic time of collapse, the energy release and the small-oscillation frequencies near the final equilibrium configuration are estimated by analytic methods.
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