Application of Potential and Vortex Fields to the Description of Gravitation and Electromagnetism
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 part...
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| Дата: | 2004 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2004
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/3726 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860509858927738880 |
|---|---|
| author | Ivanchenko, V. M. Иванченко, В. М. Иванченко, В. М. |
| author_facet | Ivanchenko, V. M. Иванченко, В. М. Иванченко, В. М. |
| author_sort | Ivanchenko, V. M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:05:58Z |
| description | 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. |
| first_indexed | 2026-03-24T02:47:47Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-3726 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:47:47Z |
| publishDate | 2004 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/ab/41eabfeb42e2fcf9da030cb149c9a0ab.pdf |
| spelling | umjimathkievua-article-37262020-03-18T20:05:58Z Application of Potential and Vortex Fields to the Description of Gravitation and Electromagnetism Использование потенциальных и вихревых полей для описания гравитации и электромагнетизма Ivanchenko, V. M. Иванченко, В. М. Иванченко, В. М. 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. Запропоновано систему диференціальних рішіянь у тензорній загальноковаріантній формі, розв'язки якої названо гравітаційними і зарядженими частиками. Для вільних полів розв'язки знайдено у вигляді потенціалів Ньютона і Кулона. Для частики, що обертається зі сгалою швидкісно навколо іншої частики великої маси, розв'язок отримано у вигляді \(\omega = k\sqrt {\frac{{m_2 }}{{R^3 }}} \) якщо-частипка незаряджена, і у вигляді \(\omega = k\sqrt {\frac{{\varepsilon _1 \varepsilon _2 }}{{m_1 R^3 }}} \) якщо вона заряджена. Institute of Mathematics, NAS of Ukraine 2004-01-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3726 Ukrains’kyi Matematychnyi Zhurnal; Vol. 56 No. 1 (2004); 31-50 Український математичний журнал; Том 56 № 1 (2004); 31-50 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/3726/4176 https://umj.imath.kiev.ua/index.php/umj/article/view/3726/4177 Copyright (c) 2004 Ivanchenko V. M. |
| spellingShingle | Ivanchenko, V. M. Иванченко, В. М. Иванченко, В. М. Application of Potential and Vortex Fields to the Description of Gravitation and Electromagnetism |
| title | Application of Potential and Vortex Fields to the Description of Gravitation and Electromagnetism |
| title_alt | Использование потенциальных и вихревых полей для описания гравитации и электромагнетизма |
| title_full | Application of Potential and Vortex Fields to the Description of Gravitation and Electromagnetism |
| title_fullStr | Application of Potential and Vortex Fields to the Description of Gravitation and Electromagnetism |
| title_full_unstemmed | Application of Potential and Vortex Fields to the Description of Gravitation and Electromagnetism |
| title_short | Application of Potential and Vortex Fields to the Description of Gravitation and Electromagnetism |
| title_sort | application of potential and vortex fields to the description of gravitation and electromagnetism |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3726 |
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