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Open AccessArticle10.22323/1.123.0269

The general relativistic Thomas-Fermi theory of white-dwarfs

J. A. Rueda,Michael F. Rotondo,R. Ruffini,She-Sheng Xue-2011-06-06-Proceedings of 25th Texas Symposium on Relativistic Astrophysics — PoS(Texas 2010)

TL;DRAbstract

The recently formulation of the relativistic Thomas-Fermi model for compressed atoms is applied to the study of white-dwarf equilibrium configurations in the framework of general relativity. The equation of state is obtained as a function of the compression by considering each atom constrained in a Wigner-Seitz cell and it takes into account the beta equilibrium and the Coulomb interaction between the nuclei and the surrounding electrons. The consequences on the numerical value of the Chandrasekhar-Landau mass limit are presented as well as the modifications to the mass-radius relation for 4 He and 56 Fe white-dwarf equilibrium configurations.

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The recently formulation of the relativistic Thomas-Fermi model for compressed atoms is applied to the study of white-dwarf equilibrium configurations in the framework of general relativity. The equation of state is obtained as a function of the compression by considering each atom constrained in a Wigner-Seitz cell and it takes into account the beta equilibrium and the Coulomb interaction between the nuclei and the surrounding electrons. The consequences on the numerical value of the Chandrasekhar-Landau mass limit are presented as well as the modifications to the mass-radius relation for 4 He and 56 Fe white-dwarf equilibrium configurations.

Keywords

Chandrasekhar limitPhysicsWhite dwarfCoulombRADIUSThomas–Fermi modelGeneral relativityQuantum mechanics

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