Astronomy and Astrophysics – Astrophysics
Scientific paper
1997-04-02
Astronomy and Astrophysics
Astrophysics
5 pages, 2 figures, submitted to MNRAS
Scientific paper
We construct three dimensional axisymmetric, cuspy density distributions, whose potentials are of St\"ackel form in parabolic coordinates. As in Sridhar and Touma (1997), a black hole of arbitrary mass may be added at the centre, without destroying the St\"ackel form of the potentials. The construction uses a classic method, originally due to Kuzmin (1956), which is here extended to parabolic coordinates. The models are highly oblate, and the cusps are "weak", with the density, $\rho \propto 1/r^k$, where $0
Sridhar Srinath
Touma Jihad
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