Astronomy and Astrophysics – Astrophysics
Scientific paper
Feb 2001
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001ap%26ss.275..259c&link_type=abstract
Astrophysics and Space Science, v. 275, Issue 3, p. 259-274 (2001).
Astronomy and Astrophysics
Astrophysics
2
Scientific paper
The theory of stars consisting of non-interacting neutrons at zero Kelvin is revisited starting from a quantum formulation. The Dirac equation is solved in a curved space-time with spherical symmetry and N single-particle quantum states are filled with N neutrons in such a way that the mass of the star is a minimum constrained by Einstein's equations of general relativity. This rule leads to quantum ground states with local isotropy (i.e. isotropic pressure) for masses below the Oppenheimer-Volkoff limit, but quantum ground states with local anisotropy above it. The calculations suggest that there are stable neutron stars with mass well above the currently accepted limit.
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