On Maxwell’s Equations with a Magnetic Monopole on Manifolds
- Authors: Volovich I.V.1, Kozlov V.V.1
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Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Issue: Vol 306, No 1 (2019)
- Pages: 43-46
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175897
- DOI: https://doi.org/10.1134/S0081543819050055
- ID: 175897
Cite item
Abstract
We consider a generalization of Maxwell’s equations on a pseudo-Riemannian manifold M of arbitrary dimension in the presence of electric and magnetic charges and prove that if the cohomology groups H2(M) and H3(M) are trivial, then solving these equations reduces to solving the d’Alembert—Hodge equation.
About the authors
I. V. Volovich
Steklov Mathematical Institute of Russian Academy of Sciences
Author for correspondence.
Email: volovich@mi-ras.ru
Russian Federation, ul. Gubkina 8, Moscow, 119991
V. V. Kozlov
Steklov Mathematical Institute of Russian Academy of Sciences
Author for correspondence.
Email: kozlov@pran.ru
Russian Federation, ul. Gubkina 8, Moscow, 119991
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