Approximate solution of a Thomas-Fermi model equation for bulk self-gravitating stellar objects in two dimensions
Journal article, 2017

Direct variational methods are used to find simple approximate solutions of the Thomas-Fermi equations describing the properties of self-gravitating radially symmetric stellar objects both in the non-relativistic and ultra-relativistic cases. The approximate solutions are compared and shown to be in good agreement with exact and numerically obtained solutions.

Rayleigh-Ritz optimization procedure

Thomas-Fermi model equation

direct variational methods


Dan Anderson

Chalmers, Earth and Space Sciences, Plasma Physics and Fusion Energy

M. Desaix

University of Borås

European Journal of Physics

0143-0807 (ISSN)

Vol. 38 1

Subject Categories

Physical Sciences



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3/8/2018 9