# Inertial modes of non-stratified superfluid neutron stars

@article{Prix2004InertialMO, title={Inertial modes of non-stratified superfluid neutron stars}, author={Reinhard Prix and G L Comer and Nils Andersson}, journal={Monthly Notices of the Royal Astronomical Society}, year={2004}, volume={348}, pages={625-637} }

We present results concerning adiabatic inertial-mode oscillations of non-stratified superfluid neutron stars in Newtonian gravity, using the anelastic and slow-rotation approximations. We consider a simple two-fluid model of a superfluid neutron star, where one fluid consists of the superfluid neutrons and the second fluid contains all the comoving constituents (protons, electrons). The two fluids are assumed to be 'free' in the sense that vortex-mediated forces such as mutual friction or…

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## References

SHOWING 1-10 OF 36 REFERENCES

Adiabatic oscillations of non-rotating superfluid neutron stars

- Physics
- 2002

We present results concerning the linear (radial and non-radial) oscillations of non-rotating superfluid neutron stars in Newtonian physics. We use a simple two-fluid model to describe the superfluid…

On the dynamics of superfluid neutron star cores

- Physics
- 2001

We discuss the nature of the various modes of pulsation of superfluid neutron stars using comparatively simple Newtonian models and the Cowling approximation. The matter in these stars is described…

Slowly rotating superfluid Newtonian neutron star model with entrainment

- Physics
- 2002

We develop a formalism that can be used to model slowly rotating superfluid Newtonian neutron stars. A simple two-fluid model is used to describe the matter, where one fluid consists of the…

r -modes in superfluid neutron stars

- Physics
- 2000

The analogues of r-modes in superfluid neutron stars are studied here. These modes, which are governed primarily by the Coriolis force, are identical to their ordinary-fluid counterparts at the…

Inertial modes of neutron stars with a superfluid core

- Physics
- 2003

We investigate the modal properties of inertial modes of rotating neutron stars with a core filled with neutron and proton superfluids, taking account of entrainment effects between the superfluids.…

Oscillations of general relativistic superfluid neutron stars

- Physics
- 2002

We develop a general formalism to treat, in general relativity, the nonradial oscillations of a superfluid neutron star about static (non-rotating) configurations. The matter content of these stars…

Perturbations of self-gravitating, ellipsoidal superfluid-normal fluid mixtures

- Physics
- 2000

We study the perturbation modes of rotating superfluid ellipsoidal figures of equilibrium in the framework of the two-fluid superfluid hydrodynamics and Newtonian gravity. Our calculations focus on…

r-Modes of Neutron Stars with Superfluid Cores

- Physics
- 2003

We investigate the modal properties of the r-modes of rotating neutron stars with the core filled with neutron and proton superfluids, taking account of entrainment effects between the superfluids.…

The Oscillations of Superfluid Neutron Stars

- Physics
- 1994

The effects of superfluid hydrodynamics on the oscillations of neutron stars are investigated. The equations describing the small-amplitude pulsations of a neutron star's neutron-proton superfluid…

Inertial modes in slowly rotating stars: An evolutionary description

- Physics
- 2002

We present a new hydrocode based on spectral methods using spherical coordinates. The first version of this code aims at studying time evolution of inertial modes in slowly rotating neutron stars. In…