Equation of Vlasov-Maxwell-Einstein Type and Transition to a Weakly Relativistic Approximation

被引：8

作者：

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

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

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

机构：

[1] Russian Acad Sci, Keldysh Inst Appl Math, Fed Res Ctr, Moscow 125047, Russia

[2] RUDN Univ, Moscow 117198, Russia

[3] Russian Acad Sci, Inst Comp Aided Design, Moscow 123056, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2019年 / 59卷 / 11期

关键词：

Milne-McCrea model; Vlasov-Maxwell-Einstein equation; Lagrangian; cosmological constant; Hilbert action; TIME AVERAGES; DARK ENERGY; BOLTZMANN; CLASSIFICATION; SYSTEM;

D O I：

10.1134/S0965542519110137

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The gravitational Lagrangian of general relativity is considered together with the Lagrangian of electromagnetism. Vlasov-type equations are derived from the former in the general, nonrelativistic, and weakly relativistic limits. Expressions for the resulting corrections to the Poisson equation are proposed, which may contribute to the effective action of dark matter and dark energy.

引用

页码：1816 / 1831

页数：16

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