Effects of General Relativity on the Mass Ejection of Neutrino-Trapping Supernovae

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Abstract
The effects of neutrino trapping and general relativity (GR) on the mass ejection of supernovae are investigated on the assumption of adiabatic collapse with the aid of an idealized equation of state. It is found that effects of GR is significant and the following results are obtained. i) The behavior of the gravitational collapse deviates considerably from the Newtonian homologous collapse especially in the models with large trapped lepton fraction, YL; the mass of the unshocked core formed at the center becomes smaller than that of nonrelativistic (NR) cases, but the strength of the bounce of the core becomes stronger. ii) The effects of GR on the propagation of the shock wave depend on the thermal stiffness γr of the shocked matter. In the case γr ≤4/3, the mass ejection is suppressed because of the weakening of the shock wave. On the other hand, in the case γr =5/3, the mas ejection is enhanced significantly as compared with the NR models. The physical interpretation of the above results and the detailed dependence of mass ejection on γr and effects of GR are discussed.

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