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

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

2001-12-18

arxiv.org/abs/gr-qc/0112042v2

Class.Quant.Grav. 19 (2000) 191

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages. Comment to Class. Quantum Grav. 18(2001)L87

Scientific paper

10.1088/0264-9381/19/1/312

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 Rezzolla and Yoshida (2001) 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.

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