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r-modes in the Tolman VII solution

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arxiv gr-qc/0106056 v3 pith:J5QVNSQT submitted 2001-06-18 gr-qc astro-ph

classification gr-qcastro-ph
keywords r-modesolutiontolmanapproximationcalculationscompactcorrectionestimated
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abstract

The r-mode frequencies of the Tolman VII solution for the slowly rotating non-barotropic approximation within the low frequency regime are estimated. The relativistic correction to Newtonian r-mode calculations is shown as function of the tenuity $\frac{R}{M}$ and is shown to be significant only for very compact neutron stars.

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