|
This article is cited in 10 scientific papers (total in 10 papers)
Mathematical physics
Derivation of the equations of electrodynamics and gravity from the principle of least action
V. V. Vedenyapina, V. I. Parenkinab, S. R. Svirshchevskiia a Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, 125047, Moscow, Russia
b Moscow Region State University, 141014, Mytishchi, Moscow oblast, Russia
Abstract:
In classical works, field equations are given without deriving right-hand sides. In this paper, the right-hand sides of the Maxwell and Einstein equations are derived within the framework of Vlasov–Maxwell–Einstein equations from a classical, but more general least action principle.
Key words:
Vlasov equation, Vlasov–Einstein equation, Vlasov–Maxwell equation, Vlasov–Poisson equation.
Received: 17.11.2021 Revised: 17.11.2021 Accepted: 24.12.2021
Citation:
V. V. Vedenyapin, V. I. Parenkina, S. R. Svirshchevskii, “Derivation of the equations of electrodynamics and gravity from the principle of least action”, Zh. Vychisl. Mat. Mat. Fiz., 62:6 (2022), 1016–1029; Comput. Math. Math. Phys., 62:6 (2022), 983–995
Linking options:
https://www.mathnet.ru/eng/zvmmf11413 https://www.mathnet.ru/eng/zvmmf/v62/i6/p1016
|
Statistics & downloads: |
Abstract page: | 152 |
|