On the maximum mass of neutron stars

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Neutron Stars

Scientific paper

The equation of state for matter with energy density above 2x1014 g/cm3 is parametrized with three regions, two with adiabatic equations of state and the third with a causal equation of state. Searching the parameter space under a stability constraint, we find the maximum mass for a non-rotating relativistic neutron star depends on the maximum allowed values of the adiabatic index parameters. The maximum mass as a function of adiabatic index can be rendered to good approximation by a rational quadratic. Selecting a generous upper bound on the adiabatic index, it appears very likely that the maximum mass is less than three solar masses.

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