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The Tolman VII solution is an exact static spherically symmetric perfectfluid solution of Einstein's equations that exhibits a surprisingly goodapproximation to a neutron star. We show that this solution exhibits trappednull 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 - modesdominates over the centrifugal part.

Tolman type VII solution, trapped null orbits, andw-modes