2017
Том 69
№ 9

All Issues

Application of Potential and Vortex Fields to the Description of Gravitation and Electromagnetism

Ivanchenko V. M.

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Abstract

We propose a system of differential equations in the tensor general-covariant form whose solutions are called gravitational and charged particles. For free fields, solutions are found in the form of Newton and Coulomb potentials.

For a particle that rotates with constant velocity around another particle with large mass, a solution is obtained in the form \(\omega = k\sqrt {\frac{{m_2 }}{{R^3 }}} \) if the particle is uncharged, and in the form \(\omega = k\sqrt {\frac{{\varepsilon _1 \varepsilon _2 }}{{m_1 R^3 }}} \) if it is charged.

English version (Springer): Ukrainian Mathematical Journal 56 (2004), no. 1, pp 37-61.

Citation Example: Ivanchenko V. M. Application of Potential and Vortex Fields to the Description of Gravitation and Electromagnetism // Ukr. Mat. Zh. - 2004. - 56, № 1. - pp. 31-50.

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