https://doi.org/10.1140/epjp/s13360-020-00412-w
Regular Article
The properties of Vlasov–Maxwell–Einstein equations and its applications to cosmological models
1
RUDN University, Mikluho-Maklaya St., 6, Moscow, Russia 117198,
2
Keldysh Institute of Applied Mathematics of RAS, Miusskaya Sq., 4, Moscow, Russia 125047,
3
National Research Center Kurchatov Institute, Kurchatov Sq., 1, Moscow, Russia 123182,
* e-mail: oberon@kiam.ru
Received:
17
March
2020
Accepted:
20
April
2020
Published online:
14
May
2020
The method of obtaining Vlasov-type equations for systems of interacting massive charged particles from the general relativistic Einstein–Hilbert action is considered. An effective approach to synchronize the proper times of various particles of a many-particle system is proposed. Based on the resulting expressions for the relativistic actions, an analysis of composite structure of cosmological term in Einstein’s equations is performed.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2020
