Table 17 Mass limit and minimum radius of white dwarfs computed at \(\alpha = 0.96\).
From: Analysis of the fractional relativistic polytropic gas sphere
\(\sigma\) | \(\xi_{1}\) | \(\upsilon \, (\xi_{1} )\) | Mlimit (M☉) | Rmin (km) | Rmin (R☉)% | \(\log \, \rho_{c}\) |
|---|---|---|---|---|---|---|
0.001 | 6.943 | 2.23836 | 1.61499 | 12,826 | 1.8428 | 9.782 |
0.003 | 6.952 | 2.21357 | 1.5971 | 4286.44 | 0.6158 | 11.214 |
0.005 | 6.934 | 2.18773 | 1.57846 | 2558.56 | 0.3676 | 11.879 |
0.007 | 6.92 | 2.16509 | 1.56212 | 1820.17 | 0.2615 | 12.318 |
0.009 | 6.929 | 2.14891 | 1.55045 | 1419.37 | 0.2039 | 12.645 |
0.01 | 6.898 | 2.1370 | 1.54185 | 1266.03 | 0.1819 | 12.782 |
0.03 | 6.813 | 1.8439 | 1.33038 | 411.675 | 0.0591 | 14.214 |
0.05 | 6.784 | 1.65237 | 1.19219 | 244.906 | 0.0351 | 14.879 |
0.07 | 7.162 | 1.51095 | 1.09016 | 194.971 | 0.0280 | 15.318 |
0.09 | 7.237 | 1.38185 | 0.99701 | 154.836 | 0.0222 | 15.645 |
0.1 | 7.119 | 1.23351 | 0.889982 | 134.846 | 0.0193 | 15.782 |
0.2 | 7.063 | 0.886431 | 0.639563 | 66.3662 | 0.0095 | 16.686 |
0.3 | 10.801 | 0.720947 | 0.520166 | 103.468 | 0.0148 | 17.214 |