On the r-mode spectrum of relativistic stars in the low-frequency approximation

Details On the r-mode spectrum of relativistic stars in the low-frequency approximation On the r-mode spectrum of relativistic stars in the low-frequency approximation

2001-01-26

arxiv.org/abs/gr-qc/0101105v3

Mon.Not.Roy.Astron.Soc. 328 (2001) 678

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Major revision, corrected results concerning realistic equations of state, now 17 pages, 11 figures, MNRAS typesetting

Scientific paper

10.1046/j.1365-8711.2001.04909.x

The axial modes for non-barotropic relativistic rotating neutron stars with uniform angular velocity are studied, using the slow-rotation formalism together with the low-frequency approximation, first investigated by Kojima. The time independent form of the equations leads to a singular eigenvalue problem, which admits a continuous spectrum. We show that for $l=2$, it is nevertheless also possible to find discrete mode solutions (the $r$-modes). However, under certain conditions related to the equation of state and the compactness of the stellar model, the eigenfrequency lies inside the continuous band and the associated velocity perturbation is divergent; hence these solutions have to be discarded as being unphysical. We corroborate our results by explicitly integrating the time dependent equations. For stellar models admitting a physical $r$-mode solution, it can indeed be excited by arbitrary initial data. For models admitting only an unphysical mode solution, the evolutions do not show any tendency to oscillate with the respective frequency. For higher values of $l$, it seems that in certain cases there are no mode solutions at all.

Affiliated with

Also associated with

No associations

Rating

On the r-mode spectrum of relativistic stars in the low-frequency approximation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the r-mode spectrum of relativistic stars in the low-frequency approximation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the r-mode spectrum of relativistic stars in the low-frequency approximation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-278199