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- Title
On Derivation of Equations of Electrodynamics and Gravitation from the Principle of Least Action, the Hamilton–Jacobi Method, and Cosmological Solutions.
- Authors
Vedenyapin, V. V.
- Abstract
In classical texts, equations for fields are proposed without derivation of right-hand sides. Below, the right-hand sides of the Maxwell and Einstein equations are derived within the framework of the Vlasov–Maxwell–Einstein equations from a classical, but slightly more general principle of least action and Hamilton–Jacobi equations are used to obtain cosmological solutions.
- Subjects
HAMILTON-Jacobi equations; ELECTRODYNAMICS; GRAVITATION; MAXWELL equations; EQUATIONS; VLASOV equation; EINSTEIN-Maxwell equations
- Publication
Doklady Mathematics, 2022, Vol 105, Issue 3, p178
- ISSN
1064-5624
- Publication type
Article
- DOI
10.1134/S1064562422330018