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

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

2001-03-31

arxiv.org/abs/gr-qc/0104002v2

Phys.Rev. D64 (2001) 084001

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages revtex. 10 figures png. Further information at http://grtensor.phy.queensu.ca/tolmanvii/

Scientific paper

10.1103/PhysRevD.64.084001

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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