Binding energy and stability of a cold neutron star

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astrophysics, Baryons, Gravitation Theory, Neutron Stars, Systems Stability, Density (Number/Volume), Particle Density (Concentration), Relativity

Scientific paper

The stability of a cold neutron star against dissociation into small grains and the stability of equilibrium neutron-star configurations against small radial perturbations are investigated. The steady-state spherically symmetric case corresponding to a cold neutron star is considered in the framework of the bimetric theory of gravitation, and a process which dissociates the star into a large number of small grains of nondegenerate matter is analyzed. It is found that the binding energy of several neutron-star models is positive in all cases and that the bimetric theory leads to binding energies and possible masses that are much larger than the values obtained from general relativity. Extremely high binding energy is determined in the case of a star consisting of incompressible matter, indicating that the incompressible state can be extremely stable. It is also shown that the steady-state solutions yield configurations which are stable against small perturbations up to the first maximum in primary mass as a function of central density.

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