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

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

2001-07-09

arxiv.org/abs/gr-qc/0107027v1

Class.Quant.Grav.18:L87,2001

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8pages, 3figures. Submitted to CQG

Scientific paper

10.1088/0264-9381/18/15/101

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.

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