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Accuracy of the relativistic Cowling approximation in slowly rotating stars

Shijun Yoshida1Department of Earth Science and Astronomy, Graduate School of Arts and Sciences, University of Tokyo, Komaba, Meguro, Tokyo 153, JapanYasufumi Kojima2Department of Physics, Hiroshima University, Higashi-Hiroshima 739, Japan
1997en
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We have calculated the non-radial oscillation in slowly rotating relativistic stars using the Cowling approximation. The frequencies are compared with those based on the complete linearized equations of general relativity. It is found that the results with the approximation differ by less than about 20 per cent for typical relativistic stellar models. The approximation is more accurate for higher order modes as in the Newtonian case.

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