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arXiv · 1401.7884

Relativistic ring models

M. Ujevic·P. S. Letelier·D. Vogt
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Abstract

Relativistic thick ring models are constructed using previously found analytical Newtonian potential-density pairs for flat rings and toroidal structures obtained from Kuzmin-Toomre family of discs. In particular, we present systems with one ring, two rings and a disc with a ring. Also, the circular velocity of a test particle and its stability when performing circular orbits are presented in all these models. In general, we find that regions of non-stability appear between the rings when they become thinner.

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M. Ujevic, P. S. Letelier, D. Vogt. 2014-01-30. Relativistic ring models. https://doi.org/10.1142/s0218271811020305

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