Abstract:
In the present paper we consider the Lagrangian of gravity of general theory of relativity together with Lagrangian electromagnetism. From it derived equations of Vlasov type in general, non-relativistic and weakly relativistic limits. Expressions for the resulting corrections in the Poisson equation are proposed, which can contribute to the effective action of dark matter and dark energy.
Citation:
V. V. Vedenyapin, N. N. Fimin, V. M. Chechetkin, “On the Vlasov–Maxwell–Einstein equation and its non-relativistic and weakly relativistic analogues”, Keldysh Institute preprints, 2018, 265, 30 pp.
\Bibitem{VedFimChe18}
\by V.~V.~Vedenyapin, N.~N.~Fimin, V.~M.~Chechetkin
\paper On the Vlasov--Maxwell--Einstein equation and its non-relativistic and weakly relativistic analogues
\jour Keldysh Institute preprints
\yr 2018
\papernumber 265
\totalpages 30
\mathnet{http://mi.mathnet.ru/ipmp2622}
\crossref{https://doi.org/10.20948/prepr-2018-265}
\elib{https://elibrary.ru/item.asp?id=36576710}
Linking options:
https://www.mathnet.ru/eng/ipmp2622
https://www.mathnet.ru/eng/ipmp/y2018/p265
This publication is cited in the following 2 articles:
V. V. Vedenyapin, S. Z. Adzhiev, Ya. G. Batischeva, Yu. A. Volkov, V. V. Kazantseva, I. V. Melikhov, Yu. N. Orlov, M. A. Negmatov, N. N. Fimin, V. M. Chechetkin, Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy, 2020, 381
V. V. Vedenyapin, I. S. Pershin, “Vlasov–Maxwell–Einstein equation and Einstein lambda”, Preprinty IPM im. M. V. Keldysha, 2019, 039, 17 pp.
Citation in format AMSBIB
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