Particle motion around a Kerr black hole and applications
by
Emilio Tejeda
→
Europe/Stockholm
FA32
FA32
Description
The study of test particle trajectories (timelike geodesics) constitutes a fundamental tool for exploring and gaining intuition concerning the geometric and dynamic properties of any given spacetime. In this talk, I will give an overview of the motion of test particles around a rotating black hole. Based on the concepts of first integrals of motion and effective potentials, I will present a broad classification of general trajectories as well as discuss the full integrability of the problem. Finally, as a practical application of this study, I will introduce an analytic model of the accretion flow of a rotating dust cloud onto a Kerr black hole. We can use this model to highlight signatures of pure relativistic effects on the accretion dynamics either due to the strong gravitational field regime or to the frame dragging effect that might be otherwise masked in a full-hydrodynamic treatment. Moreover, this model provides a compelling test solution for use in benchmarking general relativistic hydrodynamics codes.
