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Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series

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Static solutions in the Freund – Nambu scalar-tensor theory of gravitation

https://doi.org/10.29235/1561-2430-2021-57-4-464-469

Abstract

Herein, the system of Einstein equations and the equation of the Freund – Nambu massless scalar field for static spherically symmetric and axially symmetric fields are considered. It is shown that this system of field equations decouples into gravitational and scalar subsystems. In the second post-Newtonian approximation, the solutions for spherically symmetric and slowly rotating sources are obtained. The application of the obtained solutions to astrophysical problems is discussed.

About the Authors

Yu. P. Vyblyi
B. I. Stepanov Institute of Physics of the National Academy of Sciences of Belarus
Belarus

Yuri P. Vyblyi – Ph. D. (Physics and Mathematics), Leading Researher

68-2, Nezavisimosti Ave., 220072, Minsk



O. G. Kurguzova
B. I. Stepanov Institute of Physics of the National Academy of Sciences of Belarus
Belarus

Oksana G. Kurguzova – Junior Researcher

68-2, Nezavisimosti Ave., 220072, Minsk



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ISSN 1561-2430 (Print)
ISSN 2524-2415 (Online)