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The Tolman VII solution, trapped null orbits and w - modes

Nicholas Neary·Mustapha Ishak·Kayll Lake
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Abstract

The Tolman VII solution is an exact static spherically symmetric perfect fluid solution of Einstein's equations that exhibits a surprisingly good approximation to a neutron star. We show that this solution exhibits trapped null orbits in a causal region even for a tenuity (total radius to mass ratio) $> 3$. In this region the dynamical part of the potential for axial w - modes dominates over the centrifugal part.

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Nicholas Neary, Mustapha Ishak, Kayll Lake. 2001-07-09. The Tolman VII solution, trapped null orbits and w - modes. https://doi.org/10.1103/physrevd.64.084001

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