Abramowicz, Marek A.; Rezzolla, Luciano; Yoshida, Shin’ichirou General relativistic Rossby-Haurwitz waves of a slowly and differentially rotating fluid shell. (English) Zbl 0995.83029 Classical Quantum Gravity 19, No. 1, 191-194 (2002). Summary: We show that, at first-order in the angular velocity, the general relativistic description of Rossby-Haurwitz waves (the analogues of \(r\) waves on a thin shell) can be obtained from the corresponding Newtonian one after a coordinate transformation. As an application, we show that the results recently obtained by L. Rezzolla and S. Yoshida [ibid. 18, L87–L94 (2001; Zbl 0986.83016)] in the analysis of Newtonian Rossby-Haurwitz waves of a slowly and differentially rotating fluid shell apply also in general relativity, at first-order in the angular velocity. Cited in 1 Document MSC: 83C55 Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) 83C10 Equations of motion in general relativity and gravitational theory Keywords:Rossby-Haurwitz waves; differentially rotating fluid shell Citations:Zbl 0986.83016 PDFBibTeX XMLCite \textit{M. A. Abramowicz} et al., Classical Quantum Gravity 19, No. 1, 191--194 (2002; Zbl 0995.83029) Full Text: DOI arXiv