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

Abstract: 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. © 2019, Pleiades Publishing, Ltd.

Authors
Vedenyapin V.V. 1, 2 , Fimin N.N. 1 , Chechetkin V.M.1, 3
Journal
Computational Mathematics and Mathematical Physics
Number of issue
11
Language
English
Pages
1816-1831
Status
Published
Link
External link
DOI
10.1134/S0965542519110137
Volume
59
Year
2019
Organizations
  • 1 Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, 125047, Russian Federation
  • 2 RUDN University, Moscow, 117198, Russian Federation
  • 3 Institute for Computer Aided Design, Russian Academy of Sciences, Moscow, 123056, Russian Federation
Keywords
cosmological constant; Hilbert action; Lagrangian; Milne–McCrea model; Vlasov–Maxwell–Einstein equation
Date of creation
24.12.2019
Date of change
24.12.2019
Short link
https://repository.rudn.ru/en/records/article/record/54929/
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