Chaos in Pseudo-Newtonian Black Holes with Halos

Astronomy and Astrophysics – Astrophysics

Scientific paper

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RevTEX, 7 eps figures, to appear in Astron Astrophys

Scientific paper

10.1051/0004-6361:20010018

The Newtonian as well as the special relativistic dynamics are used to study the stability of orbits of a test particle moving around a black hole plus a dipolar halo. The black hole is modeled by either the usual monopole potential or the Paczynki-Wiita pseudo-Newtonian potential. The full general relativistic similar case is also considered. The Poincare section method and the Lyapunov characteristic exponents show that the orbits for the pseudo-Newtonian potential models are more unstable than the corresponding general relativistic geodesics.

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