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arXiv · gr-qc/0107027

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

Luciano Rezzolla·Shin'ichirou Yoshida
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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.

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Luciano Rezzolla, Shin'ichirou Yoshida. 2001-07-09. Rossby-Haurwitz waves of a slowly and differentially rotating fluid shell. https://doi.org/10.1088/0264-9381%2F18%2F15%2F101

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