Rossby-Haurwitz waves of a slowly and differentially rotating fluid shell

Abstract

Recent studies have raised doubts about the occurrence of r modes in Newtonian stars with a large degree of differential rotation. To assess the validity of this conjecture we have solved the eigenvalue problem for Rossby-Haurwitz waves (the analogues of r waves on a thin-shell) in the presence of differential rotation. The results obtained indicate that the eigenvalue problem is never singular and that, at least for the case of a thin-shell, the analogues of r modes can be found for arbitrarily large degrees of differential rotation. This work clarifies the puzzling results obtained in calculations of differentially rotating axi-symmetric Newtonian stars.

8pages, 3figures. Submitted to CQG

References in corpus (1)

• R-mode oscillations of differentially and rapidly rotating Newtonian polytropic stars

Cited by in corpus (6)

• On the Shear Instability in Relativistic Neutron Stars
• Frequencies of f-modes in differentially rotating relativistic stars and secular stability limits
• The oscillation and stability of differentially rotating spherical shells: The normal mode problem
• Nonradial oscillations of slowly and differentially rotating compact stars
• Nonlinear Decay of r modes in Rapidly Rotating Neutron Stars
• General Relativistic Rossby-Haurwitz waves of a slowly and differentially rotating fluid shell