The Accuracy of the Relativistic Cowling Approximation
Abstract
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 pmodes 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 loworder pmodes studied here.
 Publication:

The Astrophysical Journal
 Pub Date:
 January 1990
 DOI:
 10.1086/168227
 Bibcode:
 1990ApJ...348..198L
 Keywords:

 Gravitational Fields;
 Relativistic Theory;
 Stellar Gravitation;
 Stellar Models;
 Stellar Oscillations;
 Computational Astrophysics;
 Energy Dissipation;
 Perturbation Theory;
 Astrophysics;
 RELATIVITY;
 STARS: PULSATION