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


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Аннотация

The gravitational Lagrangian of general relativity is considered together with the Lagrangian of electromagnetism. Vlasov-type equations are derived from the former in the general, nonrelativistic, and weakly relativistic limits. Expressions for the resulting corrections to the Poisson equation are proposed, which may contribute to the effective action of dark matter and dark energy.

Авторлар туралы

V. Vedenyapin

Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences; RUDN University

Хат алмасуға жауапты Автор.
Email: vicveden@yahoo.com
Ресей, Moscow, 125047; Moscow, 117198

N. Fimin

Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences

Email: vicveden@yahoo.com
Ресей, Moscow, 125047

V. Chechetkin

Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences; Institute for Computer Aided Design, Russian Academy of Sciences

Email: vicveden@yahoo.com
Ресей, Moscow, 125047; Moscow, 123056

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