Properties of the Vlasov–Maxwell–Einstein Equations and Their Application to the Problems of General Relativity

Abstract: A new universal method is proposed for obtaining Vlasov–type equations for systems of interacting massive charged particles from the general-relativistic Einstein–Hilbert action. At the same time, a new effective approach to synchronizing the proper times of various particles of a many–particle system has been introduced. A new form of the energy–momentum tensor for matter (and the right-hand side of Einstein’s equations) is obtained. © 2020, Pleiades Publishing, Ltd.

Authors
Vedenyapin V.V. 1, 2 , Fimin N.N. 1 , Chechetkin V.M.1, 3
Number of issue
2
Language
English
Pages
173-183
Status
Published
Volume
26
Year
2020
Organizations
  • 1 Federal Research Center ‘‘Keldysh Institute of Appled Mathematics,’’ Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 1250477, Russian Federation
  • 2 Peoples’ Friendship University of Russia (RUDN University), ul. Miklukho-Maklaya 6, Moscow, 117198, Russian Federation
  • 3 National Research Center ‘‘Kurchatov Institute’’, pl. Akademika Kurchatova 1, Moscow, 123182, Russian Federation
Date of creation
02.11.2020
Date of change
02.11.2020
Short link
https://repository.rudn.ru/en/records/article/record/64876/