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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.
Citation:
N. N. Fimin, V. M. Chechetkin, “Dynamical properties of particle systems in the Kruskal–Szekeres metric”, Keldysh Institute preprints, 2018, 215, 17 pp.
Linking options:
https://www.mathnet.ru/eng/ipmp2574 https://www.mathnet.ru/eng/ipmp/y2018/p215
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