On Derivation of Equations of Electrodynamics and Gravitation from the Principle of Least Action, the Hamilton–Jacobi Method, and Cosmological Solutions

Author:

Vedenyapin V. V.

Abstract

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.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Reference25 articles.

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3. S. Weinberg, Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity (Wiley, New York, 1972).

4. B. A. Dubrovin, A. T. Fomenko, and S. P. Novikov, Modern Geometry: Methods and Applications (Springer-Verlag, New York, 1984, 1985, 1990), Parts I–III.

5. V. V. Vedenyapin and M. A. Negmatov, “Derivation and classification of Vlasov-type and magnetohydrodynamics equations: Lagrange identity and Godunov’s form,” Theor. Math. Phys. 170 (3), 394–405 (2012).

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