Analytical Investigation of Massive Particles’ Dynamics in the Kruskal Metric

N. N. Fimin; Yu. N. Orlov; V. M. Chechetkin

doi:10.1134/S2070048219050089

Analytical Investigation of Massive Particles’ Dynamics in the Kruskal Metric

Authors: Fimin N.N.¹, Orlov Y.N.¹, Chechetkin V.M.¹^,2
Affiliations:
1. Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
2. Institute of Computer Aided Design , Russian Academy of Sciences
Issue: Vol 11, No 5 (2019)
Pages: 850-857
Section: Article
URL: https://journals.rcsi.science/2070-0482/article/view/203725
DOI: https://doi.org/10.1134/S2070048219050089
ID: 203725

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Abstract
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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 maximal analytical extension of the Hilbert metric to a gravitating point in a vacuum.

Keywords

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

About the authors

N. N. Fimin

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences

Author for correspondence.
Email: oberon@kiam.ru
Russian Federation, Moscow, 125047

Yu. N. Orlov

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences

Email: oberon@kiam.ru
Russian Federation, Moscow, 125047

V. M. Chechetkin

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences; Institute of Computer Aided Design , Russian Academy of Sciences

Email: oberon@kiam.ru
Russian Federation, Moscow, 125047; Moscow, 123056

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