Robert Stańczy (Institute of Mathematics, University of Wrocław)

We consider generalized Kolmogorov system which describes in Milne variables Tolman-Oppenheimer-Volkoff equation. We prove using Lyapunov function and geometric properties of heteroclinic solution some bounds on mass vs radius ratio for system of particles. We refer to recent research on Sagittarius A* by Ruffini et al.