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