All Tables

Table 1: Specific angular momentum for the last stable orbit ( $j_{\rm LSO}$ ) around a black hole with a given mass ( $M_{\rm BH}$ ), calculated according to Bardeen et al. (1972). Here, $j_{\rm SCH}$ and $j_{\rm Kerr,max}$ denote the cases for Schwarzschild black hole (non-rotating) and maximally rotating Kerr black hole, respectively.
Table 2: Model properties with test runs. Each column has the following meaning. $M_{\rm init}$ : initial mass, $Z_{\rm init}$ : initial absolute metallicity, ${v}_{\rm init}$ : initial equatorial rotational velocity, ${v}_{\rm init}/{v}_{\rm K}$ : initial fraction of the Keplerian value of the equatorial rotational velocity. $J_{\rm init}$ : initial total angular momentum., $w_{\rm CNO}$ : consideration of the effect of the enrichment of CNO elements on the WR mass loss rate, $f_{\mu , {\rm mag}}$ : efficiency factor of the magnetic torque, $f_{\rm centri}$ : consideration of the effect of the centrifugal force on the stellar structure, End: the end point of the model sequence (YB: core helium burning, YE: central helium exhaustion, CB: core carbon burning, CE: central carbon exhaustion, NB: core neon burning, NE: central neon exhaustion, OB: core oxygen burning, OE: central oxygen exhaustion), $t_{\rm MS}$ : evolutionary time from ZAMS to the end of main sequence, $t_{\rm f}$ : evolutionary time from ZAMS to the end of the calculation, $M_{\rm f}$ : final mass, $M_{\rm CO}$ : CO core mass at the end of the calculation, $\Delta M_{\rm He}$ : total helium mass in the envelope when the star ends as a WR star, $J_{\rm f}$ : final angular momentum, $\langle j \rangle _{3~M_\odot}$ : mean specific angular momentum of the innermost $1.4~{M_\odot}$ , $\langle j \rangle _{3~M_\odot}$ : mean specific angular momentum of the innermost $3~{M_\odot}$ , $\langle j \rangle _{\rm CO}$ : mean specific angular momentum of the CO core.
Table 3: Same as in Table 4, but with slow semi-convection ( $\alpha _{\rm SEM}=0.04$ ) and with Z=0.001.
Table 4: Model properties with Z=0.004. Each column has the following meaning. $M_{\rm init}$ : initial mass, $Z_{\rm init}$ : initial absolute metallicity, ${v}_{\rm init}$ : initial equatorial rotational velocity, ${v}_{\rm init}/{v}_{\rm K}$ : initial fraction of the Keplerian value of the equatorial rotational velocity. $J_{\rm init}$ : initial total angular momentum., End: the end point of the model sequence (YB: core helium burning, YE: central helium exhaustion, CB: core carbon burning, CE: central carbon exhaustion, NB: core neon burning, NE: central neon exhaustion, OB: core oxygen burning, OE: central oxygen exhaustion), $t_{\rm MS}$ : evolutionary time from ZAMS to the end of main sequence, $t_{\rm f}$ : evolutionary time from ZAMS to the end of the calculation, $t_{\rm WR}$ : duration of WR stage, $M_{\rm f}$ : final mass, $M_{\rm CO}$ : CO core mass at the end of the calculation, $\Delta M_{\rm He}$ : total helium mass in the envelope when the star ends as a WR star, $Y_{\rm s}$ : surface helium mass fraction at the end of the calculation, $X_{\rm C}$ , $X_{\rm N}$ , $X_{\rm O}$ : surface carbon, nitrogen and oxygen mass fraction in log scale at the end of the calculation, $J_{\rm f}$ : final angular momentum, $\langle j \rangle _{3~M_\odot}$ : mean specific angular momentum of the innermost $3~{M_\odot}$ , $\langle j \rangle _{3~M_\odot}$ : mean specific angular momentum of the CO core.
Table 5: Same as in Table 4, but for Z=0.002.
Table 6: Same as in Table 4, but for Z=0.001.
Table 7: Same as in Table 4, but for Z=0.00001.
Table 8: Evolution of central temperature ( $T_{\rm c}$ ) and density ( $\rho _{\rm c}$ ), mean toroidal and radial magnetic fields ( $\langle B \rangle _\phi$ & $\langle B \rangle _{\rm r}$ ) and mean specific angular momentum ( $\langle j \rangle$ ) of the innermost region ( $1.4~{M_\odot}$ and $3.0~{M_\odot}$ ) in selected sequences (S25f0.6h, A25f0.5h, B25f0.5h & C25f0.5h).