Relativistic effects in the hydrodynamics of the superfluid component of a neutron star

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Hydrodynamics, Neutron Stars, Relativistic Effects, Superfluidity, Vortices, Differential Equations, Gravitational Effects, Stellar Rotation

Scientific paper

The effect of high gravitational fields on the geometry of the array of vortices of a uniformly superfluid neutron star is considered. In the case of the simplest possible superfluid model of a rotating star, a very simple relation is obtained between the shape of the vortex lines and the general relativistic functions describing a uniform rotating sphere. The deviation of the shape of the vortices from a straight line is shown to be unimportant for masses not reaching the upper limit.

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