Geodesics of Kerr black holes

Gabriela Slezáková (Department of Mathematics, University of Waikato)



A geodesic is a curve that its tangent is transported parallel with it. I shall explain how geodesics are classified, describe a method of finding solutions of equations by which geodesics are governed, and illustrate orbits derived on the basis of these solutions. Equatorial geodesics of all three types of the Kerr black holes will be considered ("slow Kerr": a < M, "extreme Kerr": a = M, and "fast Kerr": a > M), and few examples of orbits out of equator will be presented, too.