Chaos in pseudo-Newtonian black holes with halos
Departamento de Matemática Aplicada, Instituto de Matemática, Estatística e Computação Científica, Universidade Estadual de Campinas, 13083-970, Campinas, São Paulo, Brazil
P. S. Letelier
Accepted: 19 December 2000
Newtonian as well as special relativistic dynamics are used to study the stability of orbits of a test particle moving around a black hole with a dipolar halo. The black hole is modeled by either the usual monopole potential or the Paczyńki-Wiita pseudo-Newtonian potential. The full general relativistic similar case is also considered. The Poincaré 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.
Key words: chaos / galaxies: halos / relativity / instabilities / celestial mechanics, stellar dynamics
© ESO, 2001