Stability of a collapsed star in bimetric general relativity

Journal Article · Tue May 01 04:00:00 EDT 1990 · Astrophysical Journal; (USA)

DOI:https://doi.org/10.1086/168755· OSTI ID:6691246

Harpaz, A; Rosen, N ^[1]

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

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.

• OSTI ID: 6691246
• Journal Information: Astrophysical Journal; (USA), Journal Name: Astrophysical Journal; (USA) Vol. 355; ISSN ASJOA; ISSN 0004-637X
• Country of Publication: United States
• Language: English

Related Subjects

640102* -- Astrophysics & Cosmology-- Stars & Quasi-Stellar
Radio & X-Ray Sources
640106 -- Astrophysics & Cosmology-- Cosmology
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COSMOLOGY
EQUILIBRIUM
FIELD THEORIES
GENERAL RELATIVITY THEORY
GRAVITATION
GRAVITATIONAL COLLAPSE
METRICS
PERTURBATION THEORY
SCHWARZSCHILD METRIC
SPACE-TIME
STABILITY
STARS