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.
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Ivanchenko, V.M. Application of Potential and Vortex Fields to the Description of Gravitation and Electromagnetism. Ukrainian Mathematical Journal 56, 37–61 (2004). https://doi.org/10.1023/B:UKMA.0000031702.59017.31
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DOI: https://doi.org/10.1023/B:UKMA.0000031702.59017.31