Vlasov-Maxwell-Einstein equation and analysis of lambda-term with the help of kinetic theory and post-Newtonian approximation

The possibility to obtain an analog of Milne-McCrea model with the help of Vlasov- Poisson equation is considered. The simplest nonrelativistic analog of Maxwell- Einstein action is introduced, from which we deduce Vlasov-Poisson-Poisson equation for an electrostatics with gravitation. The nonrelativistic limit of Einstein-Gilbert action is studied and Vlasov-Poisson-Poisson equation is also obtained with cosmo-logical -term then the accounting of electromagnetism is added. An equation of Vlasov type is derived which can be proposed for dark matter and perhaps for dark energy.