Equation of Vlasov–Maxwell–Einstein Type and Transition to a Weakly Relativistic Approximation

被引:0
作者
V. V. Vedenyapin
N. N. Fimin
V. M. Chechetkin
机构
[1] Federal Research Center Keldysh Institute of Applied Mathematics,
[2] Russian Academy of Sciences,undefined
[3] RUDN University,undefined
[4] Institute for Computer Aided Design,undefined
[5] Russian Academy of Sciences,undefined
来源
Computational Mathematics and Mathematical Physics | 2019年 / 59卷
关键词
Milne–McCrea model; Vlasov–Maxwell–Einstein equation; Lagrangian; cosmological constant; Hilbert action;
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页码:1816 / 1831
页数:15
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  • [1] Chernin A. D.(2008)“Dark energy and universal antigravitation,” Phys.- Usp. 51 253-282
  • [2] Lukash V. N.(2008)“Dark energy: Myths and reality,” Phys.- Usp. 51 283-289
  • [3] Rubakov V. A.(2012)Derivation and classification of Vlasov-type and magnetohydrodynamics equations: Lagrange identity and Godunov’s form Theor. Math. Phys. 170 394-405
  • [4] Vedenyapin V. V.(2017)Vlasov-type and Liouville-type equations, their microscopic, energetic, and hydrodynamical consequences Izv. Math. 81 505-541
  • [5] Negmatov M. A.(1993)Hamiltonian structure of the Vlasov–Einstein system and the problem of stability for spherical relativistic star clusters Ann. Phys. 225 114-166
  • [6] Vedenyapin V. V.(1968)Collective motions of the relativistic gravitational gas Ann. de l’I. H.P. Phys. Theor. 9 17-33
  • [7] Negmatov M. A.(1966)Relativistic transport theory Ann. Phys. 37 487-518
  • [8] Fimin N. N.(1977)Global symmetric solutions of the initial value problem in stellar dynamics J. Differ. Equations 25 342-364
  • [9] Kandrup H. E.(1993)“Smooth static solutions of the spherically symmetric Vlasov–Einstein system,” Ann. Inst. H. Poincaré Phys Theor. 59 383-397
  • [10] Morrison P. J.(2007)Solutions of the Vlasov equation in Lagrange coordinates Theor. Math. Phys. 151 556-565