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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2019, Volume 59, Number 11, Pages 1883–1898
DOI: https://doi.org/10.1134/S0044466919110140 (Mi zvmmf10981) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Equation of Vlasov–Maxwell–Einstein type and transition to a weakly relativistic approximation

V. V. Vedenyapinab, N. N. Fimina, V. M. Chechetkinac

a Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, 125047 Russia
b RUDN University, Moscow, 117198 Russia
c Institute for Computer Aided Design, Russian Academy of Sciences, Moscow, 123056 Russia
Citations (8)
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DOI: https://doi.org/10.1134/S0044466919110140
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.
Key words: Milne–McCrea model, Vlasov–Maxwell–Einstein equation, 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 PRAS-18-01
28
This paper was supported by the Ministry of Education and Science of the Russian Federation under the program of improving the competitiveness of RUDN University among world-leading research and education centers for 2016–2020 (project no. 5-100), by Program no. 01 of the Presidium of the Russian Academy of Sciences “Fundamental Mathematics and Its Application” (grant no. PRAS-18-01) (Vedenyapin), and by Program no. 28 of the Presidium of the Russian Academy of Sciences “Cosmos: Research of Fundamental Processes and Their Interrelationships” (Chechetkin).
Received: 16.12.2018
Revised: 16.12.2018
Accepted: 08.07.2019
English version:
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Issue 11, Pages 1816–1831
DOI: https://doi.org/10.1134/S0965542519110137
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
Citation: V. V. Vedenyapin, N. N. Fimin, V. M. Chechetkin, “Equation of Vlasov–Maxwell–Einstein type and transition to a weakly relativistic approximation”, Zh. Vychisl. Mat. Mat. Fiz., 59:11 (2019), 1883–1898; Comput. Math. Math. Phys., 59:11 (2019), 1816–1831
Citation in format AMSBIB
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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