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Quasi-radial modes of rotating stars in general relativity
Authors:Shin'ichirou Yoshida  Yoshiharu Eriguchi
Institution:SISSA, Via Beirut 2–4, 34014 Trieste, Italy;Department of Earth Science and Astronomy, Graduate School of Arts and Sciences, University of Tokyo, Komaba, Meguro-ku, Tokyo 153-8902, Japan
Abstract:By using the Cowling approximation, quasi-radial modes of rotating general relativistic stars are computed along equilibrium sequences from non-rotating to maximally rotating models. The eigenfrequencies of these modes are decreasing functions of the rotational frequency. The eigenfrequency curve of each mode as a function of the rotational frequency has discontinuities, which arise from the avoided crossing with other curves of axisymmetric modes.
Keywords:relativity  methods: numerical  stars: oscillations  stars: rotation
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