Quantum ground state of stars consisting of noninteracting fermions

Physics

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Scientific paper

The theory of stars consisting of noninteracting fermions at zero Kelvin is developed starting from a quantum formulation. Single-particle solutions of the Dirac equation, in a curved spacetime with spherical symmetry, are filled with neutrons in such a way that the mass of the star is a minimum constrained by Einstein's equations of general relativity. Assuming spherical symmetry, this rule leads to quantum ground states with local isotropy (i.e. isotropic pressure) for masses below the Oppenheimer-Volkoff limit, but predicts locally anisotropic stars with mass up to 30% above that limit.

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