Seminarium Teorii Względności i Grawitacji

I will discuss novel analytic solutions describing all timelike and null geodesics in the Kerr spacetime. They are based on a relatively little-known result due to Biermann and Weierstrass regarding a certain class of ordinary differential equations and can be expressed in terms of Weierstrass functions. The advantage of our approach is that a single set of formulas is valid for all timelike and null geodesics, irrespectively of their radial type. I will then describe a potential application of this formalism to Monte Carlo simulations of stationary Vlasov models.