Chaotic motion of particles in the accelerating and rotating black holes spacetime

TL;DR

This study explores chaotic behavior in particle motion around accelerating and rotating black holes, revealing how acceleration influences the complexity of geodesic trajectories.

Contribution

It demonstrates the presence of chaos in geodesic motion and analyzes how acceleration and rotation parameters affect this behavior.

Findings

Chaos confirmed via Poincaré sections, power spectrum, Lyapunov exponent, bifurcation diagram

Acceleration introduces richer chaotic dynamics

Rotation parameter influences the degree of chaos

Abstract

We have investigated the motion of timelike particles along geodesic in the background of accelerating and rotating black hole spacetime. We confirmed that the chaos exists in the geodesic motion of the particles by Poincar\'e sections, 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.