Calculations of mass and moment of inertia for neutron stars

Physics – Nuclear Physics

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Scientific paper

Masses and moments of inertia for slowly-rotating neutron stars are calculated from the Tolman-Oppenheimer-Volkoff equations and various equations of state for neutron-star matter. We have also obtained pressure and density as a function of the distance from the centre of the star. Generally, two different equations of state are applied for particle densities n > 0.47 fm-3 and n < 0.47 fm-3.
The maximum mass is, in our calculations for all equations of state except for the unrealistic non-relativistic ideal Fermi gas, given by 1.50 Msolar < M < 1.82 Msolar, which agrees very well with ``experimental results''. Corresponding results for the maximum moment of inertia are 9.5 × 1044 g . cm2 < I < 1.58 × 1045 g . cm2, which also seem to agree very well with ``experimental results''. The radius of the star corresponding to maximum mass and maximum moment of inertia is given by 8.2 km < R < 10.0 km, but a smaller central density ρc will give a larger radius.

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