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General Relativistic Collapse of an Axially Symmetric Star Leading to the Formation of Neutron Stars and Black Holes
Published online by Cambridge University Press: 14 August 2015
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Using the [(2+1)+1]-dimensional representation of the Einstein equations, we have computed the general relativistic collapse of a rotating star. We adopt the cylindrical coordinate. The system is assumed to be axially and plane symmetric. The number of meshes is 28×28 in R and Z direction. The equation of state is P=1/3ρε for ρ< ρ*≡3×1014 g/cm3 and P=(ρ-ρ*)ε+1/3ρ*ε for We use the following initial conditions; ρ∝exp(-(R2+Z2)/λ), Ω∝exp(-R2/λ) where Ω and λ are angular velocity and a size parameter, respectively. We have calculated three models;
(1) Model 1 M=10M⊙, ρc=3×1013g/cm3, α=0.20, β=0.05.
(2) Model 2 M=10M⊙, ρc=3×1013g/cm3, α=0.20, β=0.12.
(3) Model 3 M=10M⊙, ρc=3×1013g/cm3, α=0.20, β=0.22.
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- Session 7: Supernova Explosions Leading to the Formation of Neutron Stars and Black Holes
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- Copyright © Reidel 1981
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