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General relativistic Rossby-Haurwitz waves of a slowly and differentially rotating fluid shell. (English) Zbl 0995.83029

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.

MSC:

83C55 Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.)
83C10 Equations of motion in general relativity and gravitational theory

Citations:

Zbl 0986.83016
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