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

Abstract

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.

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

References in corpus (6)

• Properties of r modes in rotating magnetic neutron stars. I. Kinematic Secular Effects and Magnetic Evolution Equations
• Properties of r modes in rotating magnetic neutron stars. II. Evolution of the r modes and stellar magnetic field
• On the r-mode spectrum of relativistic stars in the low-frequency approximation
• R-mode oscillations of differentially and rapidly rotating Newtonian polytropic stars
• r-modes of slowly rotating non-isentropic relativistic stars
• Rossby-Haurwitz waves of a slowly and differentially rotating fluid shell

Cited by in corpus (6)

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• The oscillation and stability of differentially rotating spherical shells: The normal mode problem
• Nonradial oscillations of slowly and differentially rotating compact stars
• Relativistic ocean $r$-modes during type-I X-ray bursts
• Modelling Neutron-Star Ocean Dynamics
• Robertson-Walker fluid sources endowed with rotation characterised by quadratic terms in angular velocity parameter