Degeneracy, the virial theorem, and stellar collapse

Details Degeneracy, the virial theorem, and stellar collapse Degeneracy, the virial theorem, and stellar collapse

2008-11-29

arxiv.org/abs/0812.0114v1

Astronomy and Astrophysics

Astrophysics

5 pages, 1 figure. Submitted to American Journal of Physics

Scientific paper

Formulae for the energies of degenerate non-relativistic and ultra-relativistic Fermi gases play multiple roles in simple arguments related to the collapse of a stellar core to a neutron star. These formulae, deployed in conjunction with the virial theorem and a few other basic physical principles, provide surprisingly good estimates of the temperature, mass, and radius (and therefore also density and entropy) of the core at the onset of collapse; the final radius and composition of the cold compact remnant; and the total energy lost to neutrino emission during collapse.

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