Relativistic formulation of the generalized nonextensive Thomas-Fermi model

We present, for the first time, a formulation of the Thomas-Fermi model, taking into account thermal, nonextensive, and relativistic effects. A new generalized Thomas-Fermi equation is obtained. It is shown that unlike the thermal corrections, the nonextensivity prescription has no influence on the relativistic effects. The latter reduce the Thomas-Fermi screening length, a trend which may be attributed to the concentration of relativistic electrons in the vicinity of the nucleus. Our results may help in interpreting screening process in relativistic dense astrophysical plasmas.