Approximate solution of a Thomas–Fermi model equation for bulk self-gravitating stellar objects in two dimensions. (30th November 2016)

• Record Type: Journal Article
• Authors: Anderson, D; Desaix, M
• Is Part Of: European journal of physics. Volume 38:Number 1(2017:Jan.)
• Publication Date: 2016-11-30
• Subjects: direct variational methods -- Rayleigh–Ritz optimization procedure -- Thomas–Fermi model equation; Physics -- Periodicals; Physics -- Study and teaching (Higher) -- Europe -- Periodicals; 530
• DOI: 10.1088/0143-0807/38/1/015406
• Languages: English
• ISSNs: 0143-0807

Abstract

Abstract: 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.