The accuracy of the relativistic Cowling approximation

Statistics – Computation

Scientific paper

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Gravitational Fields, Relativistic Theory, Stellar Gravitation, Stellar Models, Stellar Oscillations, Computational Astrophysics, Energy Dissipation, Perturbation Theory

Scientific paper

The accuracy of two versions of the relativistic Cowling approximation for the oscillations of general relativistic stellar models are investigated: one by McDermott et al. (1983) and a refinement by Finn (1988). The oscillation frequencies and the viscous damping time scales of several of the lowest frequency dipole p-modes in these approximations are compared to the exact values for these quantities. The accuracy of the Cowling approximation improves as the number of nodes in the eigenfunctions of the mode increases. Furthermore, the McDermott version of the Cowling approximation is more accurate than Finn's refined version for the low-order p-modes studied here.

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