Stability of a collapsed star in bimetric general relativity. II

Journal Article · Mon Apr 01 04:00:00 EST 1991 · Astrophysical Journal; (United States)

DOI:https://doi.org/10.1086/169887· OSTI ID:5469539

Harpaz, A; Rosen, N ^[1]

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1. Technion - Israel Institute of Technology, Haifa (Israel)

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. 5 refs.

• OSTI ID: 5469539
• Journal Information: Astrophysical Journal; (United States), Journal Name: Astrophysical Journal; (United States) Vol. 371; ISSN ASJOA; ISSN 0004-637X
• Country of Publication: United States
• Language: English

Related Subjects

640102* -- Astrophysics & Cosmology-- Stars & Quasi-Stellar
Radio & X-Ray Sources
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
EQUATIONS
EQUATIONS OF STATE
EQUILIBRIUM
FIELD THEORIES
GENERAL RELATIVITY THEORY
GRAVITATIONAL COLLAPSE
MATHEMATICAL MODELS
PERTURBATION THEORY
STABILITY
STAR EVOLUTION
STARS