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

被引：4

作者：

Vedenyapin, V. V. ^{[1
,2
]}

Fimin, N. N. ^{[1
]}

Chechetkin, V. M. ^{[1
,3
]}

机构：

[1] Russian Acad Sci, Keldysh Inst Appled Math, Fed Res Ctr, Miusskaya Pl 4, Moscow 1250477, Russia

[2] Peoples Friendship Univ Russia, RUDN Univ, Ul Miklukho Maklaya 6, Moscow 117198, Russia

[3] Natl Res Ctr, Kurchatov Inst, Pl Akad Kurchatova 1, Moscow 123182, Russia

来源：

GRAVITATION & COSMOLOGY | 2020年 / 26卷 / 02期

关键词：

TIME AVERAGES; BOLTZMANN; SYSTEM;

D O I：

10.1134/S0202289320020115

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

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.

引用

页码：173 / 183

页数：11

共 40 条

[1] Generalized Boltzmann-Type Equations for Aggregation in Gases [J].

Adzhiev, S. Z. ;

Vedenyapin, V. V. ;

Volkov, Yu. A. ;

Melikhov, I. V. .

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2017, 57 (12) :2017-2029

[2] Time averages and Boltzmann extremals for Markov chains, discrete Liouville equations, and the Kac circular model [J].

Adzhiev, S. Z. ;

Vedenyapin, V. V. .

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2011, 51 (11) :1942-1952

[3]

Amosov S. A., 1997, 13 KIAM RAS

[4]

[Anonymous], 1987, The Classical Theory of Fields

[5]

[Anonymous], 1964, The theory of space, time and gravitation

[6]

[Anonymous], 1958, Theory of Relativity

[7]

Arkhipov Yu.Yu, 1994, Proc. Steklov Inst. Math., V203, P13

[8]

Cercignani C., 2002, RELATIVISTIC BOLTZMA, DOI DOI 10.1007/978-3-0348-8165-4

[9]

CHERNIKOV NA, 1962, DOKL AKAD NAUK SSSR+, V144, P89

[10]

Choquet-Bruhat Y., 2009, General Relativity and the Einstein Equations

← 1 2 3 4 →