Non-axisymmetric oscillations of differentially rotating relativistic stars

Abstract

Non-axisymmetric oscillations of differentially rotating stars are studied using both slow rotation and Cowling approximation. The equilibrium stellar models are relativistic polytropes where differential rotation is described by the relativistic j-constant rotation law. The oscillation spectrum is studied versus three main parameters: the stellar compactness $M/R$, the degree of differential rotation $A$ and the number of maximun couplings ${\ell }_{\max }$. It is shown that the rotational splitting of the non-axisymmetric modes is strongly enhached by increasing the compactness of the star and the degree of differential rotation. Finally, we investigate the relation between the fundamental quadrupole mode and the corotation band of differentially rotating stars.

17 pages, 7 figures, 8 tables, version accepted for publication to Phys. Rev. D

References in corpus (3)

• Unexpected Dynamical Instabilities In Differentially Rotating Neutron Stars
• Nonradial oscillations of slowly and differentially rotating compact stars
• A characteristic approach to the quasi-normal mode problem

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• Fast Rotating Neutron Stars: Oscillations and Instabilities
• I-Love-Q Relations for Realistic White Dwarfs
• Slowly rotating neutron stars with small differential rotation: equilibrium models and oscillations in the Cowling approximation
• High-order perturbations of a spherical collapsing star