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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
Citation:
N. N. Fimin, Yu. N. Orlov, V. M. Chechetkin, “Analytical investigation of massive particles dynamics in Kruskal metric”, Matem. Mod., 31:3 (2019), 55–68; Math. Models Comput. Simul., 11:5 (2019), 850–857
Linking options:
https://www.mathnet.ru/eng/mm4054 https://www.mathnet.ru/eng/mm/v31/i3/p55
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Abstract page: | 227 | Full-text PDF : | 57 | References: | 36 | First page: | 8 |
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