Statistics – Computation
Scientific paper
Apr 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991apj...371..254h&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 371, April 10, 1991, p. 254-259.
Statistics
Computation
Bimetric Theories, Computational Astrophysics, Gravitational Collapse, Relativity, Stellar Evolution, Equations Of State, Mathematical Models, Perturbation Theory, Stability
Scientific paper
According to the bimetric general relativity theory, after a star has undergone gravitational collapse, it fills its Schwarzschild sphere and reaches hydrostatic equilibrium. The question investigated is whether the equilibrium is stable. This question was considered in an earlier paper, where it was assumed that the star had zero pressure. In the present work a more realistic equation of state is assumed. It is found that for the equilibrium state comsidered, the assumed small perturbations have one unstable mode. However, the time constant of the instability is of the order of the age of the universe. Since there exists a second nonsingular equilibrium state, it may be that the instability is due to the possibility of a transition to this state.
Harpaz Amos
Rosen Nathan
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