Approximate solution of a Thomas–Fermi model equation for bulk self-gravitating stellar objects in two dimensions

DOI10.1088/0143-0807/38/1/015406zbMath1358.85003OpenAlexW2559351895MaRDI QIDQ2957410

M. Desaix, Dan Anderson

Publication date: 26 January 2017

Published in: European Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0143-0807/38/1/015406

zbMATH Keywords

direct variational methodsRayleigh-Ritz optimization procedureself-gravitating stellar objectsThomas-Fermi model equationultra-relativistic cases

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Galactic and stellar structure (85A15) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Computational methods for problems pertaining to astronomy and astrophysics (85-08) Variational principles of physics (49S05)

Cites Work

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• Thomas–Fermi model for a bulk self-gravitating stellar object in two dimensions
• An approximate expression for the large angle period of a simple pendulum

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