@incollection{, E2F54B0A860ABE0CA88F9A4928C09673 , author={{V.V.Vedenyapin} and {N.N.Fimin} and {I. S.Pershin} and {Keldysh Institute of Applied Mathematics of RAS}}, journal={{Global Journal of Science Frontier Research}}, journal={{GJSFR}}2249-46260975-589610.34257/GJSFR, address={Cambridge, United States}, publisher={Global Journals Organisation}194920 } @incollection{b0, , title={{Dark energy and universal antigravitation}} , author={{ ADChernin }} , journal={{Physics -Uspekhi V}} 51 3 , year={2008} } @incollection{b1, , title={{Phantom dark energy with tachyonic instability: metric perturbations}} , author={{ AVSerghienko } and { VARubakov }} , journal={{Theoretical and Mathematical Physics}} 173 3 , year={2012} } @incollection{b2, , author={{ VNLukash } and { VARubakov }} , booktitle={{Dark energy: myths and reality}} , year={2008} 51 } @incollection{b3, , title={{}} , author={{ VVVedenyapin } and { Vlasov-Maxwell }} , booktitle={{Einstein Equation. Preprints of the Keldysh Institute of Applied Mathematics}} 188 , year={2018} } @incollection{b4, , title={{On the Vlasov-Maxwell-Einstein equation and its nonrelativistic and weakly relativistic analogues}} , author={{ VVVedenyapin } and { NNFimin } and { VMChechetkin }} , journal={{Preprints of the Keldysh Institute of Applied Mathematics}} 265 , year={2018} } @book{b5, , author={{ WPauli }} , title={{Theory of relativity}} London , publisher={Pergamon Press} , year={1971} } @book{b6, , title={{The theory of space, time and gravitation}} , author={{ VAFock }} , year={2015} , address={Pergamon} } @book{b7, , author={{ LDLandau } and { EMLifshitz }} , title={{The classical theory of fields}} , publisher={Elsevier} , year={2013} 2 } @book{b8, , author={{ BADubrovin } and { ATFomenko } and { SPNovikov }} , title={{Modern geometry. Methods and applications. Part II: The geometry and topology of manifolds}} , publisher={Springer Science & Business Media} , year={2012} 104 } @book{b9, , author={{ AAVlasov }} , title={{Statistical distribution functions}} Moscow , publisher={Nauka} , year={1966} } @incollection{b10, , title={{Derivation and classification of Vlasov-type and magneto hydrodynamics equations: Lagrange identity and Godunov's form}} , author={{ VVVedenyapin } and { M.-BANegmatov }} , journal={{Theoretical and Mathematical Physics}} 170 3 , year={2012} } @incollection{b11, , title={{Vlasov-type and Liouville-type equations, their microscopic, energetic and hydrodynamical consequences}} , author={{ VVVedenyapin } and { M.-BANegmatov } and { NNFimin }} , journal={{Izvestiya: Mathematics}} 81 3 , year={2017} } @incollection{b12, , title={{Negmatov On derivation and classification of Vlasov type equations and equations of magnetohydrodynamics. The Lagrange identity, the Godunov form, and critical mass}} , author={{ VVVedenyapin } and { M.-BA }} , journal={{Contemporary Mathematics. Fundamental Directions}} 47 , year={2013} } @book{b13, , author={{ ASinitsyn } and { VVedenyapin } and { EDulov }} , title={{Kinetic Boltzmann, Vlasov and related equations}} , publisher={Elsevier} , year={2011} } @book{b14, , author={{ YChoquet-Bruhat }} , title={{General relativity and the Einstein equations}} , publisher={Oxford University Press} , year={2009} } @book{b15, , title={{The Relativistic Boltzmann equation: theory and applications}} , author={{ GMKremer } and { CCercignani }} , year={2002} , publisher={Birkhauser Verlag} } @book{b16, , author={{ JVNarlikar }} , title={{An introduction to cosmology}} , publisher={Cambridge University Press} , year={1993} } @book{b17, , author={{ VVVedenyapin }} , title={{Boltzmann and Vlasov kinetic equations}} Moscow , publisher={Fizmatlit} , year={2001} } @book{b18, , author={{ TDeDonder }} , title={{The mathematical theory of relativity (Massachusetts Institute of Technology}} , year={1927} } @incollection{b19, , title={{A new model of the Big Bang and the expansion of the Universe}} , author={{ FKh } and { ANValiyev } and { Kraiko }} , journal={{Journal of Applied Mathematics and Mechanics}} 79 6 , year={2015} , note={The dispersion of an ideal gas from a point into a void} } @book{b20, , author={{ APLightman }} , title={{Problem book in relativity and gravitation}} , publisher={Princeton University Press} , year={2017} } @incollection{b21, , title={{Relativity: The general theory}} , author={{ JSynge } and { JRomain }} , journal={{Physics Today}} 14 50 , year={1961} } @incollection{b22, , title={{Global existence of solutions of the spherically symmetric Vlasov-Einstein system with small initial data}} , author={{ GRein } and { AD }} , journal={{Communications in mathematical physics}} 150 3 , year={1992} } @book{b23, , title={{The Nonequilibrium Universe: The Kinetics models of the cosmological evolution}} , author={{ YGIgnatiev }} , year={2014} Kazan State University } @incollection{b24, , title={{A boundary value problem for stationary Vlasov equations}} , author={{ VVVedeniapin }} , journal={{Akademiia Nauk SSSR Doklady}} 290 4 , year={1986} } @book{b25, , title={{On the classification and stability of steady state solutions of Vlasov's equation on a torus and in a boundary value problem}} , author={{ YYArkhipov } and { VVVedenyapin }} , year={1994} , publisher={Trudy Matematicheskogo Instituta imeni V.A. Steklova} 203 } @incollection{b26, , title={{The generalized Vlasov kinetic equation}} , author={{ VVKozlov }} , journal={{Russian Mathematical Surveys}} 63 4 , year={2008} } @incollection{b27, , title={{The Vlasov kinetic equation, dynamics of continuum and turbulence}} , author={{ VVKozlov }} , journal={{Russian Journal of Nonlinear Dynamics}} 6 3 , year={2010} } @incollection{b28, , title={{Vlasov-Poisson equations for a two-component plasma in a half-space}} , author={{ ALSkubachevskii } and { YTsuzuki }} , journal={{Doklady Mathematics}} 94 3 , year={2016} } @incollection{b29, , title={{Vlasov-Poisson equations for a two-component plasma in a homogeneous magnetic field}} , author={{ ALSkubachevskii }} , journal={{Russian Mathematical Surveys}} 69 2 , year={2014} } @incollection{b30, , title={{Stationary solutions of Vlasov equations for high-temperature twocomponent plasma}} , author={{ YOBelyaeva }} , journal={{Contemporary Mathematics. Fundamental Directions}} 62 , year={2016} } @incollection{b31, , title={{Some families of solutions of the Vlasov-Poisson system}} , author={{ JBatt }} , journal={{Archive for Rational Mechanics and Analysis}} 104 1 , year={1988} } @book{b32, , author={{ VVKozlov }} , title={{Dynamical Systems X. Encyclopaedia of Mathematical Sciences}} Berlin, Heidelberg , publisher={Springer} , year={2003} , note={General vortex theory} } @incollection{b33, , title={{On the topology of steady-state solutions of hydrodynamic and vortex consequences of the Vlasov equation and the Hamilton-Jacobi method}} , author={{ VVVedenyapin } and { M.-BANegmatov }} , journal={{Doklady Mathematics}} 87 2 , year={2013} , publisher={Springer} } @incollection{b34, , title={{The Liouville equation, the hydrodynamic substitution, and the Hamilton-Jacobi equation}} , author={{ VVVedenyapin } and { NNFimin }} , journal={{Doklady Mathematics}} 86 2 , year={2012} } @book{b35, , title={{Vlasov and Liouville-type equations and its microscopic and hydrodynamic consequences}} , author={{ VVVedenyapin } and { NNFimin } and { M.-BANegmatov }} , year={2016} , address={KIAM RAS, Moscow} } @incollection{b36, , title={{The Hamilton-Jacobi method for non-Hamiltonian systems}} , author={{ VVVedenyapin } and { NNFimin }} , journal={{Nonlinear Dynamics}} 11 2 , year={2015} } @incollection{b37, , title={{The Hamilton-Jacobi method in the non-Hamiltonian situation and the hydrodynamic substitution}} , author={{ VVVedenyapin } and { NNFimin }} , journal={{Doklady Mathematics}} 91 2 , year={2015} } @incollection{b38, , title={{Entropy in the sense of Boltzmann and Poincare}} , author={{ VVVedenyapin } and { SZAdzhiev }} , journal={{Russian Mathematical Surveys}} 69 6 , year={2014} }