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arXiv · 1503.08344

On the behaviour of non-radial null geodesics in self-similar Tolman-Bondi collapse

Néstor Ortiz·Olivier Sarbach·Thomas Zannias
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Abstract

Motivated by recent work on the structure of the singularity in inhomogeneous Tolman-Bondi collapse models, we investigate the behaviour of null geodesics in the particular case where the collapse is self-similar. The presence of the homothetic Killing vector field implies that the geodesic equation can be described by an integrable Hamiltonian system, and exploiting this fact we provide a full qualitative picture for its phase flow.

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Néstor Ortiz, Olivier Sarbach, Thomas Zannias. 2015-03-28. On the behaviour of non-radial null geodesics in self-similar Tolman-Bondi collapse. https://doi.org/10.1088/1742-6596/1208/1/012010

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