Minimal Action Principle for Gravity and Electrodynamics, Einstein Lambda, and Lagrange Points

A.A. Bay, V.I. Parenkina, A.G. Petrov, V.V. Vedenyapin

2023, v.29, Issue 4, 515-532

ABSTRACT

The relativistic equations of gravitation and electromagnetism in the form of Vlasov Einstein Maxwell equations are proposed and analyzed. For weakly relativistic equations we get an analog of Mealn McCree solution. We also study Lagrange points in non-relativistic case with Einstein lambda-term.

DOI:
10.61102/1024-2953-mprf.2023.29.4.005

Keywords: Minimal action principle, Vlasov equation, Einstein Lambda, Lagrange points, Vlasov Einstein equations, Vlasov Maxwell equations

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