Astronomy and Astrophysics – Astrophysics
Scientific paper
May 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990apj...355..210h&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 355, May 20, 1990, p. 210-215.
Astronomy and Astrophysics
Astrophysics
1
Cosmology, Gravitational Collapse, Relativity, Space-Time Functions, Gravitation Theory, Metric Space, Perturbation Theory, Schwarzschild Metric
Scientific paper
According to the bimetric general relativity theory, when a star undergoes gravitational collapse, it fills its Schwarzschild sphere and reaches hydrostatic equilibrium. The question investigated here is whether the equilibrium is stable. For simplicity, the case of zero pressure is considered, with equilibrium corresponding to uniform density. It is found that this state is unstable under small perturbations, but the time constant associated with the growth of instabilities is of the order of the age of the universe. It appears that the instability is due to the possibility of a transition to a second equilibrium state in which all the mass is concentrated in a thin shell on the surface of the star.
Harpaz Amos
Rosen Nathan
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