Abstract:
The properties of the dynamics of a single massive particle and a system of massive particles are considered in the Kruskal metric, which is the maximum analytic extension of the Hilbert metric to a gravitating point in a vacuum. It is shown that when describing the motion of particles in the Kruskal metric, dynamic features arise that were not in the analysis of motion in the Schwarzschild metric field.
Keywords:Lagrangian, Kruskal–Szekeres metric, maximal analytical extension, singularity of dynamics, Hessian.