General relativistic hydrodynamics and the adiabatic collapse of stellar cores
The collapse and supernova explosion, via the core-bounce--reflection-shock mechanism, of a spherically symmetric, iron core of a massive star is studied using the full general theory of relativity (GR). The neglect of GR in some recent collapse calculations is not justified, even though the Gr ''corrections' appear small. Bounces at low density (rho/sub c/approx. =10/sup 13/ g cm/sup -3/), which are found in these Newtonian models, are close to critical in GR, and may not occur. With the new equation of state of Lamb, Lattimer, Pethick, and Ravenhall, collapse simulations will not show a bounce until nuclear density is exceeded. The results of collapse models which bounce at neutron star densities are presented. Large explosion energies--up to 6 x 10/sup 51/ ergs--are found if the bounce is near critical; the GR ''effective softening'' of the equation of state then leads to the large rebound amplitude necessary for energetic explosions by the hydrodynamic mechanism. The mass division between neutron-star and black-hole formation is considered. The difference equations used for the GR hydrodynamics are presented.
- Research Organization:
- Department of Physics, University of Illinois at Urbana-Champaign
- OSTI ID:
- 5866542
- Journal Information:
- Astrophys. J.; (United States), Vol. 232:2
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
GENERAL PHYSICS
STAR MODELS
GRAVITATIONAL COLLAPSE
HYDRODYNAMICS
ADIABATIC PROCESSES
EQUATIONS OF MOTION
EQUATIONS OF STATE
GENERAL RELATIVITY THEORY
NEUTRON STARS
SHOCK WAVES
STAR EVOLUTION
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD THEORIES
FLUID MECHANICS
MATHEMATICAL MODELS
MECHANICS
STARS
640102* - Astrophysics & Cosmology- Stars & Quasi-Stellar
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