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Preprints of the Keldysh Institute of Applied Mathematics, 2018, 265, 30 pp.
DOI: https://doi.org/10.20948/prepr-2018-265 (Mi ipmp2622) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the Vlasov–Maxwell–Einstein equation and its non-relativistic and weakly relativistic analogues

V. V. Vedenyapin, N. N. Fimin, V. M. Chechetkin
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DOI: https://doi.org/10.20948/prepr-2018-265
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.
Keywords: Milne–McCrea model, Vlasov–Maxwell–Einstein model, Lagrangian, cosmological constant, Hilbert action.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation
Russian Academy of Sciences - Federal Agency for Scientific Organizations 01 (грант PRAS-18-01)
28
Russian Foundation for Basic Research 16- 02-00656_а
Bibliographic databases:
Document Type: Preprint
Language: Russian
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.
Citation in format AMSBIB
\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}
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  • https://www.mathnet.ru/eng/ipmp/y2018/p265
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Препринты Института прикладной математики им. М. В. Келдыша РАН
     
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