Slowly rotating neutron stars with small differential rotation: equilibrium models and oscillations in the Cowling approximation

摘要: Newly born neutron stars can present differential rotation, even if later it should be suppressed by viscosity or a sufficiently strong magnetic field. And in this early stage of its life, star is expected to have emission gravitational waves, which could influenced the rotation. We here new formalism for modelling differentially rotating stars: working on slow rotation approximation and assuming small degree we show that possible separate variables Einstein field equations. The dragging inertial frames determined solving three decoupled ODEs. After establish our equilibrium model, explore influence f r-modes oscillation Cowling approximation, also analyze an effect radiation from f-modes. see f-modes slightly introducing stars.