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KIAM Preprint № 265, Moscow, 2018
Authors: Vedenyapin V.V., Fimin N.N., Chechetkin V.M.
On the Vlasov-Maxwell-Einstein equation and its non-relativistic and weakly relativistic analogues
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:
Lorentz action, Langrangian, Einstein-Hilbert action, Vlasov-Einstein equation
Publication language: russian,  pages: 30
Research direction:
Mathematical problems and theory of numerical methods
Russian source text:
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About authors:
  • Vedenyapin Victor Valentinovich,  orcid.org/0000-0002-4355-9969KIAM RAS
  • Fimin Nikolay Nikolaevich,  orcid.org/0000-0003-2629-5380KIAM RAS
  • Chechetkin Valery Mihailovich,  orcid.org/0000-0002-5241-7962KIAM RAS