General Relativistic Collapse of Non-Rotating, Axisymmetric Stars

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Numerical calculations have been made for the general relativistic collapse of non-rotating, axisymmetric stars of 10M_<⦿>. The initial density of a star is about 3×10^<13> g/cm^3. As an equation of state, we use γ(Adiabatic index)=4/3 for ρ≦3×10^<14> g/cm^3 and γ⇾2 for ρ⇾∞. Both prolate and oblate collapse are calculated. It is suggested that Schwarzschild black holes may be formed if U (the ratio of the initial internal energy to the initial gravitational energy) ≳2/3. If U≲2/3, it is suggested that naked singularities may be formed for large initial deformation of stars.
理論物理学刊行会の論文
1982-05-25

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