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.
