Initial Configuration

Supermassive Star

We consider a SMS model just prior to collapse, when it is described by a uniformly rotating $\Gamma=1.345$ polytrope spinning at $75\%$ the mass-shedding limit. The SMS is of ADM mass M and has an angular momentum $J/M^2=0.45$. The equatorial radius of the star is $R_{\rm eq}=174M \approx 2.56\times 10^8\,({M}/{10^6M_{\odot}})$ km; the polar radius satisfies $R_p/R_{eq}=0.89$. This model is marginally unstable to radial instability due to GR, which triggers the collapse. The SMS is seeded with a dipole-like magnetic field which extends from to stellar interior into the exterior. We choose the magnetic field strength such as the ratio of magnetic to the rotational kinetic energy is $\mathcal{M}/\mathcal{T} = 0.1$. The average magnetic field strength is given by $\langle B\rangle = 2.7\times{10^7}({10^6\,M_\odot}/{M})$ G.