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The system of Vlasov–Maxwell–Einstein-type equations and its nonrelativistic and weak relativistic limits

Victor Vedenyapin

Keldysh Institute of Applied Mathematics of RAS, Misskaya Sq. 4, 125047 Moscow, Russia

RUDN University, Miklukho–Maklaya Street 6, 117198 Moscow, Russia

E-mail Address: vicveden@yahoo.com

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Nikolay Fimin

Keldysh Institute of Applied Mathematics of RAS, Misskaya Sq. 4, 125047 Moscow, Russia

E-mail Address: oberon@kiam.ru

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, and

Valery Chechetkin

Keldysh Institute of Applied Mathematics of RAS, Misskaya Sq. 4, 125047 Moscow, Russia

National Research Center “Kurchatov Institute”, Akademika Kurchatova pl. 1, 123182 Moscow, Russia

E-mail Address: chechetv@gmail.com

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https://doi.org/10.1142/S0218271820500066Cited by:12 (Source: Crossref)

Abstract

We considered derivation of Vlasov–Einstein–Maxwell system of equations from the first principles, i.e. using classical Maxwell–Einstein–Hilbert action principle. We know many papers in which the theories indicated as Einstein–Vlasov, Vlasov–Maxwell–Einstein, Einstein–Maxwell–Boltzmann are discussed, and we discuss difficulties of usually used equations. We use another way of derivation and obtain an alternative version based on the generalized Fock–Weinberg form of equation of motion.

Keywords:

PACS: 95.36.

$+$ x, 98.80.−k, 98.80.Jk

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