Table 15 Mass limit and minimum radius of white dwarfs computed at \(\alpha = 0.98\).

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

6.863

2.153

1.5534

12,532.2

1.8006

9.7829

0.003

6.893

2.13234

1.53849

4213.99

0.6054

11.2142

0.005

6.884

2.112

1.52382

2521.8

0.3623

11.8798

0.007

6.874

2.09632

1.5125

1796.05

0.2580

12.3182

0.009

6.877

2.08976

1.50777

1398.15

0.2008

12.6456

0.01

6.858

2.08744

1.5061

1251.39

0.1797

12.7829

0.03

6.813

1.75646

1.26729

411.675

0.0591

14.2142

0.05

6.560

1.55204

1.1198

229.0

0.0329

14.8798

0.07

7.001

1.398787

1.00923

186.303

0.0267

15.3182

0.09

7.065

1.26883

0.915466

147.564

0.0212

15.6456

0.1

7.107

1.16447

0.84017

134.391

0.0193

15.7829

0.2

7.905

0.807264

0.582444

83.1328

0.0119

16.6860

0.3

10.937

0.641067

0.462532

106.09

0.0152

17.2142