Email this article Equation of Vlasov–Maxwell–Einstein Type and Transition to a Weakly Relativistic Approximation
- Authors: Vedenyapin V.V.1,2, Fimin N.N.1, Chechetkin V.M.1,3
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Affiliations:
- Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
- RUDN University
- Institute for Computer Aided Design, Russian Academy of Sciences
- Issue: Vol 59, No 11 (2019)
- Pages: 1816-1831
- Section: Article
- URL: https://journal-vniispk.ru/0965-5425/article/view/180883
- DOI: https://doi.org/10.1134/S0965542519110137
- ID: 180883
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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.
About the authors
V. V. Vedenyapin
Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences; RUDN University
Author for correspondence.
Email: vicveden@yahoo.com
Russian Federation, Moscow, 125047; Moscow, 117198
N. N. Fimin
Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
Email: vicveden@yahoo.com
Russian Federation, Moscow, 125047
V. M. Chechetkin
Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences; Institute for Computer Aided Design, Russian Academy of Sciences
Email: vicveden@yahoo.com
Russian Federation, Moscow, 125047; Moscow, 123056
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