Vlasov-Maxwell-Einstein-type equations and their consequences. Applications to astrophysical problems

DOI10.1134/s0040577924020041OpenAlexW4392203463MaRDI QIDQ6121939

M. Chechetkin, V. V. Vedenyapin, N. N. Fimin

Publication date: 26 March 2024

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577924020041

zbMATH Keywords

LagrangianEinstein-Hilbert actionVlasov-Einstein equationLorentz action

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) PDEs in connection with relativity and gravitational theory (35Q75) Astrophysical cosmology (85A40) Vlasov equations (35Q83)

Cites Work

• Derivation and classification of Vlasov-type and magnetohydrodynamics equations: Lagrange identity and Godunov's form
• The relativistic Boltzmann equation: Theory and applications
• Hamiltonian structure of the Vlasov-Einstein system and the problem of stability for spherical relativistic star clusters
• Derivation of the equations of electrodynamics and gravity from the principle of least action
• On derivation and classification of Vlasov type equations and equations of magnetohydrodynamics. The Lagrange identity, the Godunov form, and critical mass
• On the topology of steady-state solutions of hydrodynamic and vortex consequences of the Vlasov equation and the Hamilton-Jacobi method
• Relativistic transport theory
• Vlasov-type and Liouville-type equations, their microscopic, energetic and hydrodynamical consequences
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