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JOURNALS // Preprints of the Keldysh Institute of Applied Mathematics // Archive

Keldysh Institute preprints, 2018 215, 17 pp. (Mi ipmp2574)

Dynamical properties of particle systems in the Kruskal–Szekeres metric

N. N. Fimin, V. M. Chechetkin


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.

DOI: 10.20948/prepr-2018-215



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