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JOURNALS // Matematicheskoe modelirovanie // Archive
Matem. Mod., 2019 Volume 31, Number 3, Pages 55–68 (Mi mm4054)
Analytical investigation of massive particles dynamics in Kruskal metric

N. N. Fimina, Yu. N. Orlova, V. M. Chechetkinab

a Keldysh Institute for Applied Mathematics of RAS
b Institute for Computer Aided Design of RAS

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.

Keywords: Lagrangian, Kruskal–Szekeres metric, maximal analytical extension, singularity of dynamics, Hessian.

Received: 14.03.2018
Revised: 14.03.2018
Accepted: 10.09.2018

DOI: 10.1134/S0234087919030043


 English version: Mathematical Models and Computer Simulations, 2019, 11:5, 850–857

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© Steklov Math. Inst. of RAS, 2024