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This article is cited in 2 scientific papers (total in 2 papers)
Vlasov-Einstein equation and Lagrange points
V. V. Vedenyapina, V. I. Parenkinab, A. G. Petrovc, Zhang Haochenad a Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow
b Moscow State Region University
c Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow
d Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
Abstract:
In classical works, equations for fields are proposed without derivation of the
right-hand sides. Here we give a derivation of the right-hand sides of the Maxwell
and Einstein equations in the framework of the Vlasov-Maxwell-Einstein equations
from the classical, but more general principle of least action. Moreover, in the case of
Friedman's model of the Universe, one possibility is obtained to explain the
mysterious accelerated expansion of the Universe [39-40]. The accelerated expansion
of the Universe, marked by the 2011 Nobel Prize in Physics, is receiving close
attention. The generally accepted explanation now is the addition of Einstein's
lambda term to the relativistic action. And it is well known that in the nonrelativistic
theory this corresponds to the addition of a repulsive quadratic potential [41-43].
Keywords:
Vlasov equation, Vlasov-Einstein equation, Vlasov-Maxwell
equation, Vlasov-Poisson equation, Lagrange triangular point.
Citation:
V. V. Vedenyapin, V. I. Parenkina, A. G. Petrov, Zhang Haochen, “Vlasov-Einstein equation and Lagrange points”, Keldysh Institute preprints, 2022, 023, 23 pp.
Linking options:
https://www.mathnet.ru/eng/ipmp3049 https://www.mathnet.ru/eng/ipmp/y2022/p23
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