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Preprints of the Keldysh Institute of Applied Mathematics, 2018, 215, 17 pp.
DOI: https://doi.org/10.20948/prepr-2018-215
(Mi ipmp2574)
 

Dynamical properties of particle systems in the Kruskal–Szekeres metric

N. N. Fimin, V. M. Chechetkin
References:
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.
Bibliographic databases:
Document Type: Preprint
Language: Russian
Citation: N. N. Fimin, V. M. Chechetkin, “Dynamical properties of particle systems in the Kruskal–Szekeres metric”, Keldysh Institute preprints, 2018, 215, 17 pp.
Citation in format AMSBIB
\Bibitem{FimChe18}
\by N.~N.~Fimin, V.~M.~Chechetkin
\paper Dynamical properties of particle systems in the Kruskal--Szekeres metric
\jour Keldysh Institute preprints
\yr 2018
\papernumber 215
\totalpages 17
\mathnet{http://mi.mathnet.ru/ipmp2574}
\crossref{https://doi.org/10.20948/prepr-2018-215}
\elib{https://elibrary.ru/item.asp?id=36376142}
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