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We have investigated the motion of timelike particles along geodesic in the background of accelerating and rotating black hole spacetime. We confirm that chaos exists in the geodesic motion of the particles by Poincaré sections, the frequency spectrum and the power spectrum, the fast Lyapunov exponent indicator and the bifurcation diagram. Moreover, we probe the effects of the acceleration and rotation parameters on the chaotic behavior of a timelike geodesic particle in the black hole spacetime. Our results show that the acceleration brings richer physics for the geodesic motion of particles.
Chen et al. (Thu,) studied this question.