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In general neutron stars in binaries are spinning. Recently, a newquasi-equilibrium approximation that includes a rotational velocity piece foreach star has been proposed to describe binary neutron stars with arbitraryrotation states in quasi-circular orbits. We have implemented thisapproximation numerically for the first time, to generate initial data forneutron star binaries with spin. If we choose the rotational velocity piecesuch that it equals the Newtonian rigid rotation law, we obtain stars withfluid 4-velocities that have expansion and shear of approximately zero, as onewould expect for quasi-equilibrium configurations. We also use the new approachto construct and study initial data sequences for irrotational, corotating andfixed rotation binaries.

Constructing quasi-equilibrium initial data for binary neutron stars with arbitrary spins