Preview

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

Advanced search

On the influence of the dark substance on electromagnetic radiation in space

https://doi.org/10.29235/1561-2430-2023-59-3-224-232

Abstract

   This paper investigates the influence of the gravitational fields of dark matter and dark energy, the existence of which is currently firmly established, on electromagnetic radiation in space. In the post-Newtonian approximation of the general theory of relativity, a regularity is derived that generalizes the well-known Shapiro time delay (Shapiro effect) to estimate the delay of a light beam during the Mercury location. The generalization consists of the fact that in addition to the gravitational field of the central mass, the influence of the gravitational fields of the visible (observed) medium and dark substance on the processes in space is taken into account. The cases of location of the planet Mercury and the star near the center of our Galaxy in gravitational fields created by a spherically symmetrically distributed medium are considered. Estimates of the delays of location signals are calculated, which can exceed the time delays of signals in a space not filled with a medium by several orders of magnitude. A method for estimating the density of a dark substance is indicated if the experimental estimate of the location signal delay is known. This method is illustrated by the location of Mercury as an example.

About the Authors

A. P. Ryabushko
Belarusian National Technical University
Belarus

Anton P. Ryabushko, Dr. Sc. (Physics and Mathematics), Professor

Department of Higher Mathematics

220141

65, Nezavisimosti Ave.

Minsk



T. A. Zhur
Belarusian State Agrarian Technical University
Belarus

Tatyana A. Zhur, Ph. D. (Physics and Mathematics), Associate Professor

Faculty of Entrepreneurship and Management

Department of Higher Mathematics

220023

99, Nezavisimosti Ave.

Minsk



References

1. Strazhev V. I. To the Secrets of the Universe. Minsk, National Institute of Higher Education, 2006. 160 p. (in Russian).

2. Lukash V. N., Mikheeva E. V. Dark matter: from initial conditions to structure formation in the universe. Uspekhi Fizicheskih Nauk, 2007, vol. 177, no. 9, pp. 1023–1028 (in Russian). doi: 10.3367/ufnr.0177.200709h.1023

3. Pitjev N. P., Pitjeva E. V. Constraints on dark matter in the solar system. Astronomy Letters, 2013, vol. 39, no. 3, pp. 163–172. doi: 10.1134/s1063773713020060

4. Vasenin I. M., Goiko V. L. On the mean density of matter in the universe and dark energy. Russian Physics Journal, 2017, vol. 60, no. 6, pp. 958–963. doi: 10.1007/s11182-017-1164-x

5. Мartinov D. Y. General Astrophysics Course. Moscow, Nauka Publ., 1988. 616 p. (in Russian).

6. Ipatov S. I. Migration of Celestial Bodies in the Solar System. Мoscow, Editorial URSS Publ., 2000. 320 p. (in Russian).

7. Kononovich E. V., Moroz V. I. General Course of Astronomy. Moscow, Editorial URSS Publ., 2004. 544 p. (in Russian).

8. Zasov A. V., Postnov K. A. General Astrophysics. Fryazino, Vek-2 Publ., 2011. 576 p. (in Russian).

9. Ryabushko A. P., Zhur T. A. ρ-Libration point in the three body problem. Vestsі Natsyianal’nai akademіі navuk Belarusі. Seryia fіzіka-matematychnykh navuk = Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics series, 2021, vol. 57, no. 3, pp. 330–346 (in Russian). doi: 10.29235/1561-2430-2021-57-3-330-346

10. Zeldovich Y. B., Novikov I. D. Structure and Evolution of the Universe. Moscow, Naukа Publ., 1971. 484 p. (in Russian).

11. Shapiro J. J. Fourth Test of General Relativity. Physical Review Letters, 1964, vol. 13, no. 26, pp. 789–791. doi: 10.1103/PhysRevLett.13.789

12. Shapiro J. J. Fourth Test of General Relativity: Preliminary Results. Physical Review Letters, 1968, vol. 20, no. 22, pp. 1265–1269. doi: 10.1103/physrevlett.20.1265

13. Shapiro J. J. Radar determinations of planets. Uspekhi Fizicheskih Nauk, 1969, vol. 99, no. 10, pp. 319–336 (in Russian). doi: 10.3367/ufnr.0099.196910e.0319

14. Ryabushko A. P., Zhur T. A., Nemanova I. T. Riemannian space-time, defined by an inhomogeneous gas-dust ball with the gravitational center, in general relativity. Vestsі Natsyianal’nai akademіі navuk Belarusі. Seryia fіzіka-matematychnykh navuk = Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics series, 2005, no. 4, pp. 77–85 (in Russian).

15. Ryabushko A. P., Zhur T. A. Electromagnetic radiation in space. Matematicheskie metody v tekhnike i tekhnologiyakh : sbornik trudov Mezhdunarodnoi nauchnoi konferentsii. T. 4 [Mathematical Methods in Engineering and Technology: Proceedings of the International Scientific Conference. Vol. 4]. Saint Petersburg, 2020, pp. 3–8 (in Russian).

16. Bochkarev N. G. Fundamentals of Physics of the Interstellar Environment. Moscow, MSU, 1992. 392 p. (in Russian).


Review

Views: 211


Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.


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