Table 1.
Models with rigid (m = 0 in Eq. (3)) and differential (m = 1/2) rotation of zero-temperature white dwarfs.
| m | Mwd | Jwd | Np | Ek | EI | −EG | ρmax | hmin | Req | F | |
|---|---|---|---|---|---|---|---|---|---|---|---|
| M⊙ | ×1050 | ×106 | ×1050 | ×106 | ×1050 | ×106 | km | km | |||
| A1 | 0 | 1.35 | 0 | 0.5 | 0 | 18.1 | 22.6 | 1004 | 26 | 2360 | 1 |
| H1 | – | 0 | 18.1 | 22.6 | 1000 | – | 2460 | 1 | |||
| A21 | 0 | 1.44 | 0.522 | 0.5 | 0.525 | 18.7 | 24.4 | 977 | 25 | 3240 | 0.716 |
| A22 | 2.0 | 0.543 | 19.1 | 24.9 | 1028 | 16 | 3230 | 0.710 | |||
| H2 | – | 0.537 | 18.9 | 24.6 | 1000 | – | 3500 | 0.667 | |||
| A3 | 0 | 1.28 | 0.745 | 0.5 | 0.313 | 6.32 | 9.78 | 102 | 54 | 5820 | 0.687 |
| H3 | – | 0.313 | 6.25 | 9.69 | 100 | – | 6040 | 0.667 | |||
| A4 | 0 | 0.908 | 0.707 | 0.5 | 0.118 | 1.43 | 2.67 | 9.91 | 106 | 9470 | 0.678 |
| H4 | – | 0.119 | 1.43 | 2.69 | 10 | – | 9720 | 0.667 | |||
| A5 | 0 | 0.674 | 0.543 | 0.5 | 0.056 | 0.564 | 1.134 | 3.13 | 138 | 12000 | 0.663 |
| H5 | – | 0.056 | 0.553 | 1.14 | 3.16 | – | 12100 | 0.667 | |||
| A6 | 1/2 | 1.65 | 0.993 | 0.5 | 1.92 | 22.9 | 32.3 | 970 | 27 | 2680 | 0.698 |
| H6 | – | 1.96 | 23.3 | 32.8 | 1000 | – | 2720 | 0.667 | |||
| A7 | 1/2 | 1.99 | 1.86 | 0.5 | 4.78 | 29.1 | 45.5 | 980 | 28 | 2900 | 0.510 |
| H7 | – | 4.87 | 29.6 | 46.1 | 1000 | – | 2940 | 0.500 | |||
Notes. Models A are the SPH calculations performed with SPHYNX. Models H are the SCF calculations by Hachisu (1986). Columns: rotation law (m); mass of the star (MWD); total angular momentum (JWD); number of particles (Np); total kinetic, internal, and gravitational energies (Ek, EI, EG); maximum density (ρmax); minimum smoothing length (hmin); equatorial radius (Req); and polar-to-equator radius ratio (F). Energies and densities are in c.g.s. units.
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